Homepage of Anton Galaev

I am a full professor at the Department of Mathematics, Faculty of Science, University of Hradec Králové

Research interests: differential geometry (pseudo-Riemannian geometry, holonomy group theory, supergeometry, foliation theory, characteristic classes of foliations).

Publications and preprints since 2015

A. S. Galaev, T. Leistner, F. Leitner, Holonomy in pseudo-Hermitian geometry, arXiv:2510.25598

A.S. Galaev, Holonomy of K-contact sub-Riemannian manifolds. Annali di Matematica Pura ed Applicata 205 (2026), 515—537.

Ya. V. Bazaikin, Yu. D. Efremenko, A. S. Galaev, On Losik classes of diffeomorphism pseudogroups. Results in Mathematics 80 (2025), no. 8.

D.V. Alekseevsky, A.S. Galaev, Conformally homogeneous Lorentzian spaces. Communications in Contemporary Mathematics. Doi: 10.1142/S0219199725500828

I. Ernst, A.S. Galaev, Lorentzian connections with parallel twistor-free torsion. Collectanea Mathematica 76 (2025), no. 2, 251—271.

A. Dikarev, A.S. Galaev, E. Schneider, Recurrent Lorentzian Weyl spaces. The Journal of Geometric Analysis 34, 282 (2024).

Ya.V. Bazaikin, A.S. Galaev, P. Gumenyuk, Non-diffeomorphic Reeb foliations and modified Godbillon-Vey class. Matematische Zeitschrift 300 (2022), 1335—1349.

Ya.V. Bazaikin, A.S. Galaev, Losik classes for codimension one foliations. Journal of the Institute of Mathematics of Jussieu 21 (2022), 1391—1419.

I. Ernst, A.S. Galaev, On Lorentzian connections with parallel skew torsion. Documenta Mathematica 27 (2022), 2333-2383.

D. Alekseevsky, I. Chrysikos, A. Galaev, Reductive homogeneous Lorentzian manifolds. Differential Geometry and its Applications 84 (2022), 101932.

A. Dikarev, A.S. Galaev, Parallel spinors on Lorentzian Weyl spaces. Monatshefte für Mathematik 196 (2021), 39—58.

Ya.V. Bazaikin, A.S. Galaev, N.I. Zhukova. Chaos in Cartan foliations. CHAOS 30 (2020), no. 10, 103116.

I. Chrysikos, A. Galaev Decomposable (6, 5)-solutions in eleven-dimensional supergravity. Class. Quantum Grav. 37 (2020) 125004 (26pp)

A.S. Galaev, Comparison of approaches to characteristic classes of foliations. arXiv:1709.05888

A.S. Galaev, Holonomy classification of Lorentz-Kähler manifolds. The Journal of Geometric Analysis 29 (2019), 1075–1108.

A.S. Galaev, Holonomy algebras of Einstein pseudo-Riemannian manifolds. Journal of the London Mathematical Society 98 (2018), no. 2, 393-415.

A.S. Galaev, Covariant derivative of the curvature tensor of pseudo-Kahlerian manifolds. Annals of Global Analysis and Geometry 51 (2017), no. 3, 245—265.

A.S. Galaev, Holonomy groups of Lorentzian manifolds. Russian Mathematical Surveys 70 (2015), no. 2, 249—298.

A.S. Galaev, Classification of third-order symmetric Lorentzian manifolds. Class. Quantum Grav. 32 (2015), no. 2, 025001.

A.S. Galaev, How to find the holonomy algebra of a Lorentzian manifold. Letters in Mathematical Physics 105 (2015), no. 2, 199—219.

All preprints and publications are available here arXiv

Activities (to be) (co-) organized

Conference Differential Geometry and its Applications, 17—22 of July 2022

Online Summer School on Geometry and Topology, July 2021

Geometry and Applications Online celebrating the 80th birthday of Dmitri Alekseevsky, 7—9 of September 2020

Prague-Hradec Kralove seminar Cohomology in algebra, geometry, physics and statistics

Conference Differential Geometry and its Applications, 1—7 of September 2019

Summer School Geometry and Topology, August 2019

Spring School Geometry and Topology, May 2018

Editorial

Analysis and Mathematical Physics since 2020