English

Isometric immersions of locally conformally Kaehler manifolds

Differential Geometry 2019-12-23 v2 Complex Variables

Abstract

We investigate isometric immersions of locally conformally Kaehler metrics into Hopf manifolds. In particular, we study Hopf-induced metrics on compact complex surfaces.

Keywords

Cite

@article{arxiv.1801.00511,
  title  = {Isometric immersions of locally conformally Kaehler manifolds},
  author = {Daniele Angella and Michela Zedda},
  journal= {arXiv preprint arXiv:1801.00511},
  year   = {2019}
}

Comments

20 pages. Revised version with main corrections to Prop. 3.4, Prop. 3.6 and Prop. 3.9 (and Th. 1.1 consequently)