English

Schur's Theorem for Almost Hermitian Manifolds

Differential Geometry 2011-08-26 v1

Abstract

The Schur's theorem of antiholomorphic type is proved for arbitrary almost Hermitian manifolds, namely: If a connected almost Hermitian manifold of dimension greater or equal to 6 is of pointwise constant antiholomorphic sectional curvature, then this curvature is a global constant.

Keywords

Cite

@article{arxiv.1108.5111,
  title  = {Schur's Theorem for Almost Hermitian Manifolds},
  author = {Ognian Kassabov},
  journal= {arXiv preprint arXiv:1108.5111},
  year   = {2011}
}

Comments

MR 2002c:53043; 4 pages

R2 v1 2026-06-21T18:55:11.930Z