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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 1, Pages 67–84
DOI: https://doi.org/10.17377/smzh.2016.57.106 (Mi smj2729) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Invariant affinor and sub-Kähler structures on homogeneous spaces

E. S. Korneva, Ya. V. Slavolyubovab

a Kemerovo State University, Kemerovo, Russia
b Kemerovo Branch of Russian State University of Economic and Trade, Kemerovo, Russia
Full-text PDF (498 kB) Citations (2)
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DOI: https://doi.org/10.17377/smzh.2016.57.106
Abstract: We consider $G$-invariant affinor metric structures and their particular cases, sub-Kähler structures, on a homogeneous space $G/H$. The affinor metric structures generalize almost Kähler and almost contact metric structures to manifolds of arbitrary dimension. We consider invariant sub-Riemannian and sub-Kähler structures related to a fixed $1$-form with a nontrivial radical. In addition to giving some results for homogeneous spaces of arbitrary dimension, we study these structures separately on the homogeneous spaces of dimension 4 and 5.
Keywords: affinor structures, Kähler structures, sub-Riemannian metrics, homogeneous spaces.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00873-а
Ministry of Education and Science of the Russian Federation НШ-4382.2014.1
The authors were supported by the Russian Foundation for Basic Research (Grant 12-01-00873-a) and the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-4382.2014.1).
Received: 15.12.2014
Revised: 13.07.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 1, Pages 51–63
DOI: https://doi.org/10.1134/S0037446616010067
Bibliographic databases:
Document Type: Article
UDC: 514.765
Language: Russian
Citation: E. S. Kornev, Ya. V. Slavolyubova, “Invariant affinor and sub-Kähler structures on homogeneous spaces”, Sibirsk. Mat. Zh., 57:1 (2016), 67–84; Siberian Math. J., 57:1 (2016), 51–63
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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