Almost Hermitian Manifolds with Vanishing Bochner Curvature Tensor
Differential Geometry
2011-08-31 v1
Abstract
It is proved that if an almost Hermitian manifold of dimension greater than 4 has vanishing (classical) Bochner curvature tensor and is not Kaehlerian at a point, then it is flat in a neighbourhood of this point.
Cite
@article{arxiv.1108.5859,
title = {Almost Hermitian Manifolds with Vanishing Bochner Curvature Tensor},
author = {Ognian Kassabov},
journal= {arXiv preprint arXiv:1108.5859},
year = {2011}
}
Comments
MR 2011f:53049, 5 pages