English

Curvature of almost Hermitian manifolds and applications

Differential Geometry 2012-09-25 v1

Abstract

In this paper, by introducing a notion of local quasi holomorphic frame, we obtain a curvature formula for almost Hermitian manifolds which is similar to that of Hermitian manifolds. Moreover, as applications of the curvature formula, we extend a result of H.S. Wu and a result of F. Zheng to almost Hermitian manifolds.

Keywords

Cite

@article{arxiv.1209.5078,
  title  = {Curvature of almost Hermitian manifolds and applications},
  author = {Chengjie Yu},
  journal= {arXiv preprint arXiv:1209.5078},
  year   = {2012}
}

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15 pages