The exterior derivative of the Lee form of almost Hermitian manifolds

JOURNAL OF GEOMETRY AND PHYSICS

卷:148

Article

Martin Cabrera, Francisco¹ 

[1] Univ La Laguna, Dept Matemat Estadist & Invest Operat, Tenerife 38200, Spain

关键词: Almost Hermitian;    G-structure;    Intrinsic torsion;    Minimal connection;    Lee-form;    Ricci curvature;   

DOI  :  10.1016/j.geomphys.2019.103563

来源: Elsevier

【 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.

【 授权许可】

Free