English

Kaehler manifolds admitting a flat complex conformal connection

Differential Geometry 2007-06-07 v1

Abstract

We prove that any Kaehler manifold admitting a flat complex conformal connection is a Bochner-Kaehler manifold with special scalar distribution and zero geometric constants. Applying the local structural theorem for such manifolds we obtain a complete description of the Kaehler manifolds under consideration.

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Cite

@article{arxiv.math/0606054,
  title  = {Kaehler manifolds admitting a flat complex conformal connection},
  author = {Georgi Ganchev and Vesselka Mihova},
  journal= {arXiv preprint arXiv:math/0606054},
  year   = {2007}
}

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8 pages