The exterior derivative of the Lee form of almost Hermitian manifolds

被引：0
作者：
Martin Cabrera, Francisco [1 ]
机构：
[1] Univ La Laguna, Dept Matemat Estadist & Invest Operat, Tenerife 38200, Spain
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2020年 / 148卷
关键词：
Almost Hermitian; G-structure; Intrinsic torsion; Minimal connection; Lee-form; Ricci curvature; CURVATURE; COMPLEX;
D O I：
10.1016/j.geomphys.2019.103563
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The exterior derivative d theta of the Lee form theta of almost Hermitian manifolds is studied. If omega is the Kahler two -form, it is proved that the R omega-component of d theta is always zero. Expressions for the other components, in [lambda(1,1)(0)] and in of [[lambda(2,0)]] are also obtained. They are given in terms of the intrinsic torsion. Likewise, it is described some interrelations between the Lee form and U(n)-components of the Riemannian curvature tensor. (C) 2019 Elsevier B.V. All rights reserved.
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页数：13
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