Persons: Alekseevskii, Dmitrii Vladimirovich

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Alekseevskii, Dmitrii Vladimirovich

Statistics Math-Net.Ru
Total publications:	30
Scientific articles:	27
Presentations:	16

Number of views:
This page:	5823
Abstract pages:	20508
Full texts:	10373
References:	1029

Professor

Doctor of physico-mathematical sciences (1989)

Speciality:

01.01.04 (Geometry and topology)

Birth date:

20.08.1940

E-mail:

Website:

https://iitp.ru/ru/users/2420.htm

Keywords:

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".

https://www.mathnet.ru/eng/person19976

List of publications on Google Scholar

https://zbmath.org/authors/?q=ai:alekseevskii.dmitri-vladimirovich

https://mathscinet.ams.org/mathscinet/MRAuthorID/226278

https://orcid.org/0000-0002-6622-7975

https://www.webofscience.com/wos/author/record/S-6372-2017

	Publications in Math-Net.Ru	Citations
	2022
1.	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	1
	2009
3.	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	78
4.	Dmitrii V. Alekseevskii, Yurii G. Nikonorov, “Compact Riemannian Manifolds with Homogeneous Geodesics”, SIGMA, 5 (2009), 093, 16 pp.	35
	1992
5.	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	2
6.	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	6
	1988
8.	D. V. Alekseevskii, “Maximally homogeneous $G$-structures and filtered Lie algebras”, Dokl. Akad. Nauk SSSR, 299:3 (1988), 521–525 ; Dokl. Math., 37:2 (1988), 381–384	1
9.	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	2
10.	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	32
11.	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	37
	1987
12.	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	1
	1986
14.	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	51
	1982
15.	D. V. Alekseevskii, “Lie groups”, Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 20 (1982), 153–192 ; J. Soviet Math., 28:6 (1985), 924–949	1
	1979
16.	D. V. Alekseevskii, “On perfect actions of Lie groups”, Uspekhi Mat. Nauk, 34:1(205) (1979), 219–220 ; Russian Math. Surveys, 34:1 (1979), 215–216	8
	1978
17.	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	12
	1975
18.	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	80
19.	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	108
20.	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	49
	1974
21.	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	4
	1973
22.	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	3
	1972
23.	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	37
	1971
24.	D. V. Alekseevskii, “Conjugacy of polar factorizations of Lie groups”, Mat. Sb. (N.S.), 84(126):1 (1971), 14–26 ; Math. USSR-Sb., 13:1 (1971), 12–24	15
	1970
25.	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	4
	1968
26.	D. V. Alekseevskii, “Compact quaternion spaces”, Funktsional. Anal. i Prilozhen., 2:2 (1968), 11–20 ; Funct. Anal. Appl., 2:2 (1968), 106–114	79
27.	D. V. Alekseevskii, “Riemannian spaces with exceptional holonomy groups”, Funktsional. Anal. i Prilozhen., 2:2 (1968), 1–10 ; Funct. Anal. Appl., 2:2 (1968), 97–105	69

	2021
28.	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	1

Presentations in Math-Net.Ru

1.	Special Vinberg cones and their applications D. V. Alekseevskii Cohomological geometry of differential equations March 16, 2022 19:20
2.	Конформная модель гиперколонок примарной зрительной коры и проблема стабильности D. V. Alekseevskii Mathematical Workshop of the School of Applied Mathematics and Computer Science (MIPT) April 5, 2019 18:30
3.	Нейрогеометрия зрения D. V. Alekseevsky Differential geometry and applications March 4, 2019 16:45
4.	Conformal model of hypercolumns of primary visual cortex, Möbius group, and the visual stability problem D. V. Alekseevskii Cohomological geometry of differential equations November 21, 2018 19:20
5.	Applications of the theory of homogeneous convex cones in the informational geometry and supergravity D. V. Alekseevskii Lie groups and invariant theory February 21, 2018 16:45
6.	Vinberg's theory of homogeneous convex cones: developments and applications D. Alexeevsky Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg on the occasion of his 80th birthday December 18, 2017 09:30
7.	Нейрогеометрия зрения и конформная геометрия сферы D. V. Alekseevsky Meetings of the Moscow Mathematical Society March 21, 2017 18:30
8.	What is "neuronal geometry"? D. V. Alekseevsky Riemann surfaces, Lie algebras and mathematical physics February 19, 2016 17:00
9.	Locally conformally Kaehler homogeneous manifolds D. V. Alekseevskii Lie groups and invariant theory November 11, 2015 16:45
10.	Conification of Kähler and hyper-Kähler manifolds and the $c$-map D. V. Alekseevskii Lie groups and invariant theory May 6, 2015 16:45
11.	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
13.	Some questions of vision neurogeometry D. V. Alekseevskii Lie groups and invariant theory January 30, 2013
14.	Lorentzian manifolds with large isometry group Dmitri Alekseevsky Geometric structures on complex manifolds October 7, 2011 17:10
15.	Contact geometry and detection of contours (by Jean Petito) D. V. Alekseevskii Dobrushin Mathematics Laboratory Seminar August 23, 2011 16:00
16.	Обзор новых результатов D. V. Alekseevskii Homology and homotopy methods in geometry March 2, 2011 17:00

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