Riemannian and pseudo-Riemannian geometry, spinor geometry, homogeneous spaces, transformation groups, differential geometry and PDEs, geometric structures on manifolds, holonomy groups and special geometry, generalized geometry, general relativity, Yang-Mills fields, supergravity, neurogeometry
Subject:
Differential Geometry and Lie Groups (Riemannian and pseudo-Riemannian geometry, homogeneous spaces, geometric structures) and their applications in mathematical physics, supergravity, neurogeometry
Biography
Leading Researcher (Institute for Information Transmission Problems of
the Russian Academy of Sciences - Kharkevich Institute). Member of Moscow Mathematical Society and Edinburgh Mathematical Society. Editor for "Differential Geometry and its Application", "Transformation groups", "International Journal of Geometric Methods in Modern Physics".
D. V. Alekseevskii, “Special uniform Vinberg cones and their applications”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 215 (2022), 3–17
2020
2.
D. V. Alekseevsky, A. Santi, “Homogeneous symplectic $4$-manifolds and finite dimensional Lie algebras of symplectic vector fields on the symplectic $4$-space”, Mosc. Math. J., 20:2 (2020), 217–256
D. V. Alekseevsky, C. Medori, A. Tomassini, “Homogeneous para-Kähler Einstein manifolds”, Uspekhi Mat. Nauk, 64:1(385) (2009), 3–50; Russian Math. Surveys, 64:1 (2009), 1–43
D. V. Alekseevskii, M. M. Graev, “Twistors and $G$-structures”, Izv. RAN. Ser. Mat., 56:1 (1992), 3–37; Russian Acad. Sci. Izv. Math., 40:1 (1993), 1–31
D. V. Alekseevskii, M. M. Graev, “Twistors of a Riemannian manifold, and CR-structures”, Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 5, 3–19; Russian Math. (Iz. VUZ), 36:5 (1992), 1–16
1990
7.
D. V. Alekseevskii, “Contact homogeneous spaces”, Funktsional. Anal. i Prilozhen., 24:4 (1990), 74–75; Funct. Anal. Appl., 24:4 (1990), 324–325
D. V. Alekseevskii, “Conformal mappings of $G$-structures”, Funktsional. Anal. i Prilozhen., 22:4 (1988), 68–69; Funct. Anal. Appl., 22:4 (1988), 311–313
D. V. Alekseevskii, È. B. Vinberg, A. S. Solodovnikov, “Geometry of spaces of constant curvature”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 29 (1988), 5–146
D. V. Alekseevskii, A. M. Vinogradov, V. V. Lychagin, “Basic ideas and concepts of differential geometry”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 28 (1988), 5–289
D. V. Alekseevskii, B. A. Putko, “Completeness of left-invariant metrics on Lie groups”, Funktsional. Anal. i Prilozhen., 21:3 (1987), 73–74; Funct. Anal. Appl., 21:3 (1987), 233–234
13.
D. V. Alekseevskii, A. M. Perelomov, “Kähler–Einstein metrics in holomorphic bundles”, Funktsional. Anal. i Prilozhen., 21:2 (1987), 66–67; Funct. Anal. Appl., 21:2 (1987), 144–146
D. V. Alekseevskii, A. M. Perelomov, “Invariant Kähler–Einstein metrics on compact homogeneous spaces”, Funktsional. Anal. i Prilozhen., 20:3 (1986), 1–16; Funct. Anal. Appl., 20:3 (1986), 171–182
D. V. Alekseevskii, B. N. Kimel'fel'd, “Classification of homogeneous conformally flat Riemannian manifolds”, Mat. Zametki, 24:1 (1978), 103–110; Math. Notes, 24:1 (1978), 559–562
D. V. Alekseevskii, B. N. Kimel'fel'd, “Structure of homogeneous Riemann spaces with zero Ricci curvature”, Funktsional. Anal. i Prilozhen., 9:2 (1975), 5–11; Funct. Anal. Appl., 9:2 (1975), 97–102
D. V. Alekseevskii, “Classification of quaternionic spaces with a transitive solvable group of motions”, Izv. Akad. Nauk SSSR Ser. Mat., 39:2 (1975), 315–362; Math. USSR-Izv., 9:2 (1975), 297–339
D. V. Alekseevskii, “Homogeneous Riemannian spaces of negative curvature”, Mat. Sb. (N.S.), 96(138):1 (1975), 93–117; Math. USSR-Sb., 25:1 (1975), 87–109
D. V. Alekseevskii, “Lie groups and homogeneous spaces”, Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 11 (1974), 37–123; J. Soviet Math., 4:5 (1975), 483–539
D. V. Alekseevskii, “$S^n$ and $E^n$ are the only Riemannian spaces that admit an essential conformal transformation”, Uspekhi Mat. Nauk, 28:5(173) (1973), 225–226
D. V. Alekseevskii, “Groups of conformal transformations of Riemannian spaces”, Mat. Sb. (N.S.), 89(131):2(10) (1972), 280–296; Math. USSR-Sb., 18:2 (1972), 285–301
D. V. Alekseevskii, “Quaternion Riemann spaces with transitive reductive or solvable groups of motions”, Funktsional. Anal. i Prilozhen., 4:4 (1970), 68–69; Funct. Anal. Appl., 4:4 (1970), 321–322
D. V. Alekseevskii, M. V. Belolipetsky, S. G. Gindikin, V. G. Kac, D. I. Panyushev, D. A. Timashev, O. V. Shvartsman, A. G. Elashvili, O. S. Yakimova, “Èrnest Borisovich Vinberg (obituary)”, Uspekhi Mat. Nauk, 76:6(462) (2021), 181–192; Russian Math. Surveys, 76:6 (2021), 1123–1135
2013
29.
D. V. Alekseevskii, A. S. Galaev, S. V. Galaev, A. V. Gokhman, “In memory of Losik Mark Vol'fovich”, Izv. Saratov Univ. Math. Mech. Inform., 13:4(1) (2013), 118–122
1997
30.
D. V. Alekseevskii, V. O. Bugaenko, G. I. Olshanskii, V. L. Popov, O. V. Schwarzman, “Érnest Borisovich Vinberg (on his 60th birthday)”, Uspekhi Mat. Nauk, 52:6(318) (1997), 193–200; Russian Math. Surveys, 52:6 (1997), 1335–1343
Introduction to neurogeometry of vision D. V. Alekseevsky General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences March 12, 2015 14:00
12.
Нейрогеометрия зрения D. V. Alekseevskii Dynamical systems and statistical physics March 4, 2015 18:30
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