Д.В. Алексеевский - Публикации

2020

Алексеевский Д.В., Dmitri Alekseevsky,, Shortest and Straightest Geodesics in Sub-Riemannian Geometry , Preprint 2020, 35 p.
Алексеевский Д.В., Алексеевский , Клаудио Городский Д.В., Semiksimple symmetric contact spaceds, Dmitri Alkekseevsky, Claudio Gorodski, Preprint arXiv:2003.00974, 24p. http://iitp.ru/https://arxiv.org/pdf/2003.00974.pdf

2019

Alekseevsky D., D.V.Alekseevsky, I. Chrysikos, A. Finno, A. Raffero, Homogeneous 8-manifolds admitting invariant Spin(7)-structure, arXiv:1904.00643, 25 pages
Alekseevsky D., D.V. Alekseevsky, Conformal model of hypercolumns in V1 cortex and Moebius group. Application to the visual stability problem, 8p. Download (148.7 KB)
Алексеевский Д.В., D. Alekseevsky, Shortes and Straightest Geodesics in Sub-Riemannian Geometry, Preprint , 30p.,

2018

Alekseevsky D., DMITRI V. ALEKSEEVSKY, MASOUD GANJI, AND GERD SCHMALZ, CR-GEOMETRY AND SHEARFREE LORENTZIAN GEOMETRY, 11-22 in the book "Geometric Complex Analysiks. Springer , 2018
Алексеевский Д.В., D.V. Alekseevsky, Conformal model of hypercolumns in V1 cortex and Moebius group. Application to the visual stability problem, 8p.
Alekseevsky D., DMITRI V. ALEKSEEVSKY AND FABIO PODEST`A, , HOMOGENEOUS ALMOST K¨AHLER MANIFOLDS AND THE CHERN-EINSTEIN EQUATION, Preprint :arXiv:1811.04068v1 [math.DG] 9 Nov 2018, 15 p.
Alekseevsky D., D.ALEKSEEVSKY AND Y.NIKOLAYEVSKY, EINSTEIN EXTENSIONS OF RIEMANNIAN MANIFOLDS Preprint: arXiv:1810.08904v1 [math.DG] 21 Oct 2018
Alekseevsky D., D. ALEKSEEVSKY, A. MEDVEDEV, J. SLOVAK, CONSTANT CURVATURE MODELS IN SUB-RIEMANNIAN GEOMETRY. preprint: arXiv:1712.10278v2 [math.DG] 4 Oct 2018
Alekseevsky D., 2018 г. D. Alekseevsky, K. Hasegawa and Y. Kamishima, Homogeneous Sasaki and Vaisman manifolds of unimodular Lie groups, arXiv:1810.01095v1 [math.DG] 2 Oct 2018 Загрузить (162.8 KB)
Alekseevsky D., 2018 г. D. Alekseevsky, A. Santi Homogeneous symplectic 4-manifolds and finite dimensional Lie algebras of symplectic vector fields on the symplectic 4-space, Preprint: arXiv:1803.08750v3 [math.DG] 4 Apr 2018 Загрузить (387.9 KB)
Alekseevsky D., 2018 г. DMITRI ALEKSEEVSKY, IOANNIS CHRYSIKOS, ARMAN TAGHAVI-CHABERT, DECOMPOSABLE (4, 7) SOLUTIONS IN ELEVEN-DIMENSIONAL SUPERGRAVITY, Preprint: arXiv:1802.00248v1 [math.DG] 1 Feb 2018
Alekseevsky D., D.V.Alekseevsky, I. Chrysikos, Spin structures on ciompact homogeneous pseudo-Riemannian manifolds, Transformation Groups, 2018 , DOI 10.1007/s00031-018-9498-1
Alekseevsky D., D. V. Alekseevsky and A. Santi , Homogeneous irreducible supermanifolds and graded Lie superalgebras, International Mathematics Research Notices, Vol. 2018, No. 4, pp. 1045–1079 doi: 10.1093/imrn/rnw262

2017

Alekseevsky D., 2017 Dmitri Alekseevsky and Liana David, Prolongation of Tanaka structures: an alternative approach, Annali di Mat. Pure ed Applic., 196,n3, 1137-1164, Загрузить (183.1 KB)
Alekseevsky D., 2017 г. D.V.Alekseevsky, Lorentzian manifolds with transitive conformal group, Note di Matematica, 37, n1 suppl., 35-48, (42.1 KB)

2016

Alekseevsky D., Cohomogeneity one Kaehler and Kaehler-Einstein manifolds with one singular orbit I, arXiv.org.math.1611.06521, Ann. of Global Anal. and Geometry,Volume 52, Issue 1,pp 99–128, 2017 Dmitri Alekseevsky, Fabio Zuddas
Alekseevsky D., Light, Eye, Brain.Geometric Problems in Vision. submitted to Proceed. of 8th Seminar in Geometry and Topology, Tehran,
Alekseevsky D., D.V.Alekseevsky, Lorentzian manifolds with transitive conformal group, , Note di Matematica", 37, n1,suppl., 35-48. 2017. http://iitp.ru/www.iitp.ru/userpages/2420
Alekseevsky D., 2016 г. Dmitri Alekseevsky, Jan Gutt, Gianni Manno, Giovanni Moreno, JAN GUTT, GIANNI MANNO, AND GIOVANNI MORENO. Homogeneous 2nd order PDEs on the ajoint contact manifolds of a semisimple complex Lie group, arXiv:1606.02633v1, 8 Jun 2016 Загрузить (293.6 KB)
Alekseevsky D., 2015 г. Alekseevsky D.V., Cortes V., Hasegawa K., Kamishima Yo., Homogeneous locally conformally Kähler and Sasaki manifolds , International Journal of Mathematics 26 n.6, · 29 pp., 2015 Загрузить (409.7 KB)
Alekseevsky D., 2015 г. Dmitri V. Alekseevsky , Liana David , Tanaka structures (non holonomic G-structures) and Cartan connections, Journal of Geometry and Physics, v.91, 88-100, 2015. Загрузить (478 KB)
Алексеевский Д.В., Dmitri Alekseevsky and Liana David, Prolongation of Tanaka structures: an alternative approach, arXiv:1603.00700 v2, 19 Aug 2016 To be published in Annali di Mat. Pure ed Applic.
Алексеевский Д.В., D. Alekseevsky, Lorentzian manifolds with transitive conformal group, to be published in Note in Mat. 12 p.

2015

Alekseevsky D., 2015 г. Авторы: Алексеевский Д.В. Alekseevsky D.V., Cortes V., Hasegawa K., Kamishima Yo., Homogeneous locally conformally Kähler and Sasaki manifolds A International Journal of Mathematics 26 n.6, · 29 pp., 2015 Загрузить (409.7 KB)
Алексеевский Д.В., Dmitri V. Alekseevsky , Liana David , Tanaka structures (non holonomic G-structures) and Cartan connections, Journal of Geometry and Physics, v.91, 88-100, 2015.

2014

Алексеевский Д.В., Дж. Манно, Ф. Пульезе Р.Алонсо-Бланко,, Finding solutions of parabolic Monge-Ampère equations by using the geometry of Cartan elds Dmitri Alekseevsky, Ricardo Alonso-Blanco, Gianni Manno, Fabrizio Pugliese, Diff. Geom. and its Applic., 2014
Алексеевский Д.В., Ю. Неретин П.Михор,, Rolling of Coxeter Polyhedra Along Mirrors Dmitri V.Alekseevski, Peter W.Mic hor and Yurii A.Neretin Geometric Methods in Physics. XXXI Workshop 2012 Trends in Mathematics, 67–86, 2013 Springer Basel
Алексеевский Д.В., М. Дикманс, Т. Мохаупт В.Кортес,, Quaternionic Kaehler metrics associated with special K;aehler manifolds D.V. Alekseevsky, V. Cort;es, M. Dyckmanns and T. Mohaupt arXiv 1305.3549v1
Алексеевский Д.В., Problem of conformal invariance in early vision, Abstract of a talk on workshop on model of vision, Paris , October 2014

2012

Алексеевский Д.В., Alekseevsky, D. V., Homogeneous Lorentzian manifolds of a semisimple group, : Journal of Geometry and Physics, Volume 62, Issue 3, p. 631-645.
Алексеевский Д.В., Homogeneous Lorentzian manifolds of a semisimple group, J. Geom. Physics, vol.62, no.3, 631-645, 2012. http://iitp.ru//upload/userpage/208/AbstractNGTalkParis.pdf
Алексеевский Д.В., Р., Манно Дж., Пульезе Ф. Алонсо-Бланко, Contact geometry of multidimensional Monge-Ampere equations: with R.Alonso-Blanco (Salamanca), G.Manno (Milano), F.Pugliese (Salerno), Annales de l"institut Fourier, 62, no. 2, p. 497-524, 2012.
Алексеевский Д.В., Л. Давид, A note about invariant SKT structures and generalized Kaehler structures on flag manifolds , with David L. (Bucharest) Proceedings of the Edinburgh Mathematical Society (Series 2), vol.55, no. 03, 2012, 543 - 549.
Алексеевский Д.В., Л. Давид, Invariant generalized complex structures on semisimple Lie groups, with L. David, (Bucharest), Proceed. London Math. Soc., 1-27, 2012, online April 25, 2012 doi:10.1112/plms/pds017
Алексеевский Д.В., Алонсо-Бланко, Дж. Манно. Ф. Пульезе Р., Monge-Amp"ere Equations on (Para-)K"ahler Manifolds: from Characteristic Subspaces to Special Lagrangian Submanifolds, with Ricardo Alonso-Blanco (Salamanca), Gianni Manno (Milano), Fabrizio Pugliese (Salerno), Acta Applicandae Mathematicae 2012, vol. 120, no. 1, pp 3-27.

2011

Алексеевский Д.В., Б., Клингенберг В., Гилфойл, On the geometry of the space of oriented geodesics, with B.Guilfoyle (Tralee) , W.Klingenberg (Durham),, Ann. Glob. Anal. Geom., vol.40, no.4, 389-409, 2011.
Алексеевский Д.В., А. Галаев, Two-symmetric Lorentzian manifolds, with A. S. Galaev (Brno) , J. Geom. Physics , vol. 61, no. 12, pp. 2331-2340, 2011.

2010

Алексеевский Д.В., К.Медори , А.Томассини , Maximally homogeneous para-CR manifolds of semisimple type, with C. Medori (Parma) and A. Tomassini (Parma) in <>, IMRA Lectures in Mathematics and Theoretical Physics, vol. 16, 559-577, 2010.
Алексеевский Д.В., Pseudo-Kaehler and para-Kaehler symmetric spaces , in << Handbook in Pseudo-Riemannian Geometry and Supersymmetry >>, IMRA Lectures in Mathematics and Theoretical Physics, vol. 16, 703-730, 2010.

2009

Алексеевский Д.В., Никоноров Ю.Г., Compact Riemannian Manifolds with Homogeneous Geodesics ( with Y. G. Nikonorov), SIGMA, Special Issue “Elie Cartan and Differential Geometry” 5, 2009, 093, 16p., 2009
Алексеевский Д.В., В. Кортес, Geometric construction of the r-map: from affine special real to special K"ahler manifolds, (with V. Cortes), Commun. Math. Phys., 291, 579-590, 2009.
Алексеевский Д.В., В.Кортес , Т.Лейстнер А.С.Галаев,, Cones ove r pseudo-Riemannian manifolds and their holonomy, with V. Cortes, A.S. Galaev, T. Leistner, Journal f"ur die Reine und Angewandte Mathematik (Crelle"s Journal), 635, 23-69, 2009.
Алексеевский Д.В., В. Кортес, On pseudo-Riemannian manifolds with many Killing spinors, with V. Cortes, AIP Conference Proceedings , vol. 1093,1-15, 2009, "Special metrics and Supersymmetry".
Алексеевский Д.В., К., Томассини А. Медори, Para-K"ahler Einstein metrics on homogeneous manifolds with C. Medori and A. Tomassini, , C. R., Math., Acad. Sci. Paris 347, No. 1-2, 69-72, 2009.
Алексеевский Д.В., А.Томассини К.Медори,,, Однородные пара-Келеровы многообразия Эйнштейна, УМН, т.64, n1(385), 3-50, 2009