Curvature identities on almost Hermitian manifolds and applications

被引：16

作者：

Yu ChengJie ^{[1
]}

机构：

[1] Shantou Univ, Dept Math, Shantou 515063, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2017年 / 60卷 / 02期

基金：

中国国家自然科学基金;

关键词：

almost Hermitian manifold; canonical connection; integrability; COMPLEX PRODUCT MANIFOLDS; GENERAL SCHWARZ-LEMMA; KAHLER-MANIFOLDS; COMPACT;

D O I：

10.1007/s11425-016-0022-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We systematically derive the Bianchi identities for the canonical connection on an almost Hermitian manifold. Moreover, we also compute the curvature tensor of the Levi-Civita connection on almost Hermitian manifolds in terms of curvature and torsion of the canonical connection. As applications of the curvature identities, we obtain some results about the integrability of quasi Kahler manifolds and nearly Kahler manifolds.

引用

页码：285 / 300

页数：16

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