English

Locally conformal Hermitian metrics on complex non-K\"ahler manifolds

Differential Geometry 2016-08-04 v1 Complex Variables

Abstract

We study complex non-K\"ahler manifolds with Hermitian metrics being locally conformal to metrics with special cohomological properties. In particular, we provide examples where the existence of locally conformal holomorphic-tamed structures implies the existence of locally conformal K\"ahler metrics, too.

Keywords

Cite

@article{arxiv.1505.08007,
  title  = {Locally conformal Hermitian metrics on complex non-K\"ahler manifolds},
  author = {Daniele Angella and Luis Ugarte},
  journal= {arXiv preprint arXiv:1505.08007},
  year   = {2016}
}