Nearly Kähler and Hermitian f-structures on homogeneous Φ-spaces of order k with special metrics

被引：0
作者：
A. S. Samsonov
机构：
[1] Belarus State University,
来源：
Siberian Mathematical Journal | 2011年 / 52卷
关键词：
naturally reductive space; invariant ; -structure; generalized Hermitian geometry; homogeneous Φ-space; homogeneous ; -symmetric space; canonical ; -structure;
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学科分类号：
摘要：
We consider arbitrary homogeneous Φ-spaces of order k ≥ 3 of semisimple compact Lie groups G in the case of a series of special metrics. We give formulas for the Nomizu function of the Levi-Civita connection of these metrics. Using these formulas and other relations for Φ-spaces of order k, we prove necessary and sufficient conditions for the canonical f-structures on these spaces to lie in some generalized Hermitian geometry classes of f-structures: nearly Kähler (NKf-structures) and Hermitian (Hf-structures).
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页码：1092 / 1103
页数：11
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