English

Hermitian manifolds of pointwise constant antiholomorphic sectional curvatures

Differential Geometry 2007-07-23 v1

Abstract

In dimension greater than four, we prove that if a Hermitian non-Kaehler manifold is of pointwise constant antiholomorphic sectional curvatures, then it is of constant sectional curvatures.

Keywords

Cite

@article{arxiv.0705.0236,
  title  = {Hermitian manifolds of pointwise constant antiholomorphic sectional curvatures},
  author = {Georgi Ganchev and Ognian Kassabov},
  journal= {arXiv preprint arXiv:0705.0236},
  year   = {2007}
}

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7 pages