Invariant affinor and sub-Kähler structures on homogeneous spaces

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...

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Bibliographic Details
Published in:Siberian mathematical journal 2016, Vol.57 (1), p.51-63
Main Authors: Kornev, E. S., Slavolyubova, Ya. V.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446616010067