List of publications of Boris Kruglikov
(disclaimer: preprints could be less polished than the actual published papers)

Integrability via Geometry: Dispersionless Differential Equations in Three and Four Dimensions
(with David Calderbank)
[arXiv],
Communications in Mathematical Physics, doi.org/10.1007/s0022002003913y (2020)

Differential Invariants of Linear Symplectic Actions
(with Jørn Olav Jensen)
[arXiv],
Symmetry, 12, 2023, doi:10.3390/sym12122023 (2020)

Joint Invariants of Linear Symplectic Actions
(with Fredrik Andreassen)
[arXiv],
Symmetry, 12, 2020, doi:10.3390/sym12122020 (2020)

G(3)supergeometry and a supersymmetric extension of the Hilbert–Cartan equation
(with Andrea Santi, Dennis The)
[arXiv],
Advances in Mathematics, 376, 107420 (2020)

Submaximally symmetric quaternion Hermitian structures
(with Henrik Winther)
[arXiv],
International Journal of Mathematics, 31 (11), 2050084 25pp (2020)

Blowups and infinitesimal automorphisms of CRmanifolds
[arXiv],
Mathematische Zeitschrift, 296 (3), 17011724 (2020)

Integrability of dispersionless Hirota type equations and the symplectic MongeAmpere property
(with Eugene Ferapontov, Vladimir Novikov)
[arXiv],
International Mathematics Research Notices, doi.org/10.1093/imrn/rnaa025 (2020)

Secondorder PDEs in four dimensions with halfflat conformal structure
(with Sobhi Berjawi, Eugene Ferapontov, Vladimir Novikov)
[UiT preprint],
Proceedings of the Royal Society A 476, 20190642 (2020)

Dispersionless integrable hierarchies and GL(2,R) geometry
(with Eugene Ferapontov)
[arXiv],
Mathematical Proceedings Cambridge Philosophical Society, 126, doi:10.1017/S0305004119000355 (2019)

Differential invariants of Kundt waves
(with David McNutt, Eivind Schneider)
[arXiv],
Classical and Quantum Gravity 36, 155011 16pp (2019)

Integrable systems in 4D associated with sixfolds in Gr(4,6)
(with Boris Doubrov, Eugene Ferapontov, Vladimir Novikov)
[arXiv],
International Mathematics Research Notices 21, 65856613 (2019)

Poincaré function for moduli of differentialgeometric structures
[arXiv],
Moscow Mathematical Journal 19, no.4, 761788 (2019)

A criterion for the existence of Killing vectors in 3D
(with Kentaro Tomoda)
[arXiv],
Classical and Quantum Gravity 35, 165005 23pp (2018)

Differential invariants of Einstein–Weyl structures in 3D
(with Eivind Schneider)
[arXiv],
Journal of Geometry and Physics 131, 160169 (2018)

Symmetries of second order ODEs
[arXiv],
Journal of Mathematical Analysis and Applications 461, no.1, 591594 (2018)

On the integrability in Grassmann geometries: integrable systems associated with fourfolds Gr(3,5)
(with Boris Doubrov, Eugene Ferapontov, Vladimir Novikov)
[arXiv],
Proc. London Math. Soc. 116, 12691300 (2018)

Nonexistence of orthogonal complex structures on 6sphere with a metric close to the round one
[arXiv],
Differential Geometry and its Applications 57, 94104 (2018)

Jetdetermination of symmetries of parabolic geometries
(with Dennis The)
[arXiv],
Mathematische Annalen 371, no.34, 15751613 (2018)

Submaximally Symmetric Almost Quaternionic Structures
(with Henrik Winther, Lenka Zalabova)
[arXiv],
Transformation Groups 23, no.3, 723741 (2018)

Rigidity of 2step Carnot groups
(with Mauricio Godoy Molina, Irina Markina, Alexander Vasiliev)
[arXiv],
Journal of Geometric Analysis 28, no.2, 14771501 (2018)

On the symmetry algebras of 5dimensional CRmanifolds
(with Alexander Isaev)
[arXiv]
[erratum],
Advances in Mathematics 322, no.15, 530564 (2017)

Reconstruction from Representations: Jacobi via Cohomology
(with Henrik Winther)
[arXiv],
Journal of Lie theory 27, 11411150 (2017)

On integrability of certain rank 2 subRiemannian structures
(with Andreas Vollmer, Georgios LukesGerakopoulos)
[arXiv],
Regular and Chaotic Dynamics 22, no.5, 502519 (2017)

Veronese webs and nonlinear PDEs
(with Andriy Panasyuk)
[arXiv],
Journal of Geometry and Physics 115, 4560 (2017)

Nondegenerate ParaComplex Structures in 6D with Large Symmetry Groups
(with Henrik Winther)
[arXiv],
Annals of Global Analysis and Geometry 52(3), 341362 (2017)

On a class of integrable systems of MongeAmpère type
(with Boris Doubrov, Eugene Ferapontov, Vladimir Novikov)
[arXiv],
Journal of Mathematical Physics 58, 063508 (2017)

Erratum to: Almost complex structures in 6D with nondegenerate Nijenhuis tensors and large symmetry groups
(with Henrik Winther)
[arXiv],
Annals of Global Analysis and Geometry 51, 419421 (2017)

Differential Invariants of SelfDual conformal structures
(with Eivind Schneider)
[arXiv],
Journal of Geometry and Physics 113, 176187 (2017)

Conformal Differential Invariants
[arXiv],
Journal of Geometry and Physics 113, 170175 (2017)

Almost complex structures in 6D with nondegenerate Nijenhuis tensors and large symmetry groups
(with Henrik Winther)
[arXiv],
Annals of Global Analysis and Geometry 50, 297314 (2016)

The geodesic flow of a generic metric does not admit nontrivial integrals polynomial in momenta
(with Vladimir Matveev)
[arXiv],
Nonlinearity 29, 17551768 (2016)

A short proof of the Dimension Conjecture for real hypersurfaces in C^{2}
(with Alexander Isaev)
[arXiv],
Proc. Amer. Math. Soc. 144, no.10, 43954399 (2016)

Submaximally symmetric cprojective structures
(with Vladimir Matveev, Dennis The)
[arXiv]
[erratum],
International Journal of Mathematics 27, No. 3, 1650022  34 pp, (2016)

Global LieTresse theorem
(with Valentin Lychagin)
[arXiv]
[erratum],
Selecta Math. N.S. 22, no.3, 13571411 (2016)

Submaximally symmetric CRstructures
[arXiv],
Journal of Geometric Analysis 26, 30903097 (2016)

A Backlund transformation between 4D Martinez AlonsoShabat and FerapontovKhusnutdinova equations
(with Oleg Morozov)
[arXiv]
[erratum],
Theoretical and Mathematical Physics 188, no.3, 13581360 (2016)

On the EinsteinWeyl and conformal selfduality equations
(with Maciej Dunajski, Eugene Ferapontov)
[arXiv],
Journal of Mathematical Physics
56, 083501 (2015)

Differential Invariants and Symmetry: Riemannian Metrics and Beyond
[arXiv],
Lobachevskii Journ. Math.
36, no.3, 292297 (2015)

Integrable dispersionless PDE in 4D, their symmetry pseudogroups and deformations
(with Oleg Morozov)
[arXiv],
Letters in Mathematical Physics
105, no.12, 17031723 (2015)

The gap phenomenon in parabolic geometries
(with Dennis The)
[arXiv],
Journal für die reine und angewandte Mathematik (Crelle's Journal)
DOI 10.1515/crelle20140072 (2014); print: 723, 153216 (2017)

Symmetries of almost complex structures and pseudoholomorphic foliations
[arXiv],
International Journal of Mathematics
25, no.8, 1450079 (2014)

Homogeneous almost complex structures in dimension 6 with semisimple isotropy
(with Dmitri Alekseevsky, Henrik Winther)
[arXiv],
Annals of Global Analysis and Geometry
46, no.4, 361387 (2014)

Symmetries of filtered structures via the filtered Lie equations
[arXiv],
Journal of Geometry and Physics
85, 164170 (2014)

On the models of submaximal symmetric rank 2 distributions in 5D
(with Boris Doubrov)
[arXiv],
Differential Geometry and its Applications
35, 314322 (2014)

Dispersionless integrable systems in 3D and EinsteinWeyl geometry
(with Eugene Ferapontov)
[arXiv],
Journal of Differential Geometry
97, 215254 (2014)

Submaximal metric projective and metric affine structures
(with Vladimir S. Matveev)
[arXiv],
Differential Geometry and its Applications
33, 7080 (2014)

Generalized LieBäcklund theorem for Lie class
ω=1 overdetermined systems
[arXiv],
Monatshefte für Mathematik
171, 395414 (2013)

SDiff(2) and uniqueness of the Plebanski equation
(with Oleg Morozov)
[arXiv],
Journal of Mathematical Physics
53, 083506 (2012)

The gap phenomenon in the dimension study of finite type systems
[arXiv],
Central European J. Mathematics
10, no.5, 16051618 (2012)

Symmetry, compatibility and exact solutions of PDEs
[arXiv],
Acta Applicanda Mathematicae
120, 219236 (2012)

Nonexistence of an integral of the 6th degree in momenta for the ZipoyVoorhees metric
(with Vladimir S. Matveev)
[arXiv],
Physical Review D
85, 124057 (2012)

Lie theorem via rank 2 distributions (integration of PDE of class ω=1)
[arXiv],
Journal of Nonlinear Mathematical Physics
19, no.2, 1250011  24 pp. (2012)

Laplace transformation of Lie class ω=1 overdetermined systems
[arXiv],
Journal of Nonlinear Mathematical Physics
18, no.4, 583611 (2011)

Rank 2 distributions of Monge equations: symmetries, equivalences, extensions
(with Ian Anderson)
[arXiv],
Advances in Mathematics
228, no.3, 14351465 (2011)

Finitedimensionality in Tanaka theory
[arXiv],
Ann. Inst. H. Poincaré Anal. Non Linéaire
28, no.1, 7590 (2011)

Compatibility of Gauss maps with metrics
(with Jost Eschenburg, Vladimir S. Matveev, Renato Tribuzy)
[arXiv],
Differential Geometry and its Applications
28, 228235 (2010)

Involutivity of field equations
[arXiv],
Journal of Mathematical Physics
51, 032502 (2010)

Joseph Krasilshchik  dedication
(with Valentin Lychagin, Alexander Verbovetsky)
[LinkRG],
Acta Applicanda Mathematicae
109, no.1, 13 (2010)

Compatibility, multibrackets of differential operators and integrability of systems of PDEs
(with Valentin Lychagin)
[arXiv],
Acta Applicanda Mathematicae
109, no.1, 151196 (2010)

Point classification of 2nd order ODEs: Tresse classification revisited and beyond
[arXiv],
Differential equations  Geometry, Symmetries and Integrability,
Proc. ABEL SYMPOSIUM2008
199221, Springer Verlag (2009)

Differential invariants of the motion group actions
(with Valentin Lychagin)
[arXiv],
Variations, Geometry and Physics,
NOVA Scientific Publ.
237251 (2009)

Invariants and submanifolds in almost complex geometry
[arXiv],
Differential Geometry and its Applications,
Proc. Conf. in honour of Leonhard Euler [Olomouc, August 2007],
World Sci. Publ. 305316 (2008)

Invariant characterization of Liouville metrics and polynomial integrals
[arXiv],
Journal of Geometry and Physics
979995 (2008)

Anomaly of linearization and auxiliary integrals
[arXiv],
In: SPT 2007  Symmetry and Perturbation Theory,
World Sci. Publ.
108115 (2008)

Symmetry approaches for reductions of PDEs, differential constraints and LagrangeCharpit method
[MPI preprint],
Acta Applicanda Mathematicae
101, no.13, 145161 (2008)

Valentin Lychagin  a dedication
(with Iosif Krasilshchik)
[UiT preprint],
Acta Applicanda Mathematicae
101, no.13, 13 (2008)

Geometry of Differential equations
(with Valentin Lychagin)
[IHES preprint]
[erratum],
In:
Handbook on Global Analysis
D.Krupka and D.Saunders Eds.,
725771, 1214, Elsevier Sci. (2008)

Spencer δcohomologies, restrictions and involutive symbolic PDEs
(with Valentin Lychagin)
[arXiv],
Acta Applicandae Mathematicae
95, 3150 (2007)

Tangent and normal bundles in almost complex geometry
[arXiv],
Differential Geometry and its Applications
25, no.4, 399418 (2007)

Dimension of the solutions space of PDEs
(with Valentin Lychagin)
[arXiv],
In: Global Integrability of Field Theories,
Proc. of GIFT2006, Ed. J.Calmet, W.Seiler, R.Tucker, 525 (2006)

Invariants of pseudogroup actions: Homological methods and Finiteness theorem
(with Valentin Lychagin)
[arXiv],
International Journal of Geometric Methods in Modern Physics
3, no.56, 11311165 (2006)

Note on two compatibility criteria: JacobiMayer bracket vs. differential Gröbner basis
[ref],
Lobachevskii Journal of Math.
23, 5770 (2006)

Multibrackets of differential operators and compatibility of PDE systems
(with Valentin Lychagin)
[talk],
Comptes Rendus  Mathematiques Acad. Sci. Paris
342, no.8, 557561 (2006)

Entropy via multiplicity
(with Martin Rypdal)
[arXiv],
Discrete and Continuous Dynamical Systems
16, no.2, 395410 (2006)

Vanishing of the entropy pseudonorm for certain integrable systems
(with Vladimir Matveev)
[ERA],
Electronic Research Announcement of AMS
12, 1928 (2006)

A piecewise affine contracting map with positive entropy
(with Martin Rypdal)
[arXiv],
Discrete Contin. Dyn. Syst.
16, no.2, 393394 (2006)

Dynamics and entropy of the Zhang model of SOC
(with Martin Rypdal)
[arXiv],
Journal of Stat. Physics
122, no.5, 9751039 (2006)

Nondegenerate geodesic equivalence implies h_{top}(g)=0
(with Vladimir Matveev)
[arXiv],
Ergodic Theory and Dynamical Systems
26, 247266 (2006)

Mayer brackets and solvability of PDEs  II
(with Valentin Lychagin)
[SLS preprint],
Transactions A.M.S.
358, no.3, 10771103 (2006)

Finite Dimensional Dynamics for KolmogorovPetrovskyPiskunov Equation
(with Olga Lychagina)
[SLS preprint],
Lobachevskii Journal of Math.
19, 1328 (2005)

A compatibility criterion for systems of PDEs and generalized LagrangeCharpit method
(with Valentin Lychagin)
[SLS preprint],
"Global Analysis and Applied Mathematics: International Workshop on Global Analysis",
AIP (American Institute of Physics) Conference Proceedings
729, no.1, 3953 (2004)

Transitive and transversal actions of pseudogroups on submanifolds
(with Valentin Lychagin)
[SLS preprint],
Russian Math. (Izv. VUZ, Matematika)
48, no.11, 3044 [engl. 2740] (2004)

Deformation of big pseudoholomorphic disks and application to the Hanh pseudonorm
[arXiv]
[erratum],
Comptes Rendus  Mathematiques
338, no.4, 295299 (2004)

Characteristic distributions on 4dimensional almost complex manifolds
[SLS preprint],
In: "Geometry and Topology of Caustics  Caustics'02",
Banach Center Publications
62, 173182 (2004)

Nonexistence of higherdimensional pseudoholomorphic submanifolds,
Manuscripta Mathematica
111, 5169 (2003)

Examples of integrable subRiemannian geodesic flows
[arXiv],
Journal on Dynamical and Control Systems
8, no.3, 323340 (2002)

Mayer brackets and solvability of PDEs  I
(with Valentin Lychagin)
[SLS preprint],
Differential Geometry and its Applications
17, 251272 (2002)

Examples of symplectic Q^{3}xS^{1},
Proceedings of the 8th International Conference on
Differential Geometry and Its Applications
Opava, 2731 August 2001, Part II, 93104 (2001)

Classification of MongeAmpere equations with two variables
[SLS preprint],
In: Geometry and topology of caustics  CAUSTICS '98 (Warsaw);
Banach Center Publications
50, 179194 (1999)

On equivalence of differential equations
(with Valentin Lychagin),
Acta et Comment. Univ. Tartuensis Math.
3, 729 (1999)

Pseudoholomorphic mappings and Kobayashi hyperbolicity
(with Marius Overholt)
[arXiv],
Differential Geometry and its Applications
11, 265277 (1999)

Existence of close pseudoholomorphic disks for almost complex structures and an application
to the KobayashiRoyden pseudonorm
[arXiv],
Functional Analysis and Its Applications
33, no.1, pp.4658 [engl:3848] (1999)

Exact smooth classification of divergencefree vector fields on the surfaces of small genus,
Math. Notes
65, no.3, 336353 [engl:280294] (1999)

Symplectic and contact Lie algebras with an application to MongeAmpere equations
[arXiv],
Proc. of Steklov Mathematical Inst.
221, 232246 [engl:221235] (1998)

Some classificational problems in four dimensional geometry: distributions,
almost complex structures and MongeAmpere equations
[arXiv],
Math. Sbornik
189, no.11, 6174 [engl:16431656] (1998)

Examples of symplectic manifolds of the form Q^{3}xS^{1},
In:
"Topological methods in the theory of Hamiltonian systems"
Eds. A.V. Bolsinov, A.T. Fomenko, A.A. Shafarevich, pp.136146, Factorial, Moscow (1998)

Nijenhuis tensors and obstructions for pseudoholomorphic mapping constructions
[arXiv],
Math. Notes
63, no.4, 541561 [engl:476493] (1998)

Exact smooth classification of Hamiltonian vector fields on twodimensional manifolds,
Math. Notes
61, no.2, 179200 [engl:146163] (1997)

Obstructions for pseudoholomorphic mapping constructions,
Uspekhi Mat. Nauk (Russian Math. Surveys)
52, no.3, 167168 [engl:611612] (1997)

On the image in H^{2}(Q^{3};R) of presymplectic forms with preassigned kernel,
Math. Sbornik
188, no.1, 7382 [engl:7585] (1997)

Monotonicity of a rotation function and anticompatible contact structures,
Uspekhi Math. Nauk (Russian Math. Surveys)
51, no.1, 153154 [engl:148149] (1996)

Note on symplectic packing construction,
Russian Math. Doklady (Doklady RAN)
350, no.6, 730734 (1996)

On an invariant of characteristic distribution,
Uspekhi Math. Nauk (Russian Math. Surveys)
50, no.4, 159160 [engl:816817] (1995)

Existence of a pair of additional Bott integrals for the resonant Hamiltonian system
with two degrees of freedom,
Proc. of Steklov Mathematical Inst.
205, no.4, 109112 (1994) [engl:99102 (1995)]

On the extension of a symplectic structure and a pair of function at involution from
S^{1}xIxT^{2},
Proc. of Steklov Mathematical Inst.
205, no.4, 98108 (1994) [engl:8798 (1995)]

On the extension of the symplectic structure (Russian),
Proc. of the Seminar on Tensor and Vector Analysis, Moscow State University,
25, part 1, 7175 (1993)

Topological classification of Leggett's systems in an integrable case for ^{3}HeA,
Uspekhi Math. Nauk (Russian Math. Surveys)
46, no.4 (280), 153154 [engl:179181] (1991)