English

Nevanlinna theory on complete K\"ahler manifolds

Complex Variables 2021-06-17 v3 Probability

Abstract

We study Nevanlinna theory on complete K\"ahler manifolds. As a consequence of the main result, we prove a defect relation of holomorphic mappings from complete K\"ahler manifolds of non-positive sectional curvature into complex projective manifolds under certain growth condition.

Keywords

Cite

@article{arxiv.2012.10955,
  title  = {Nevanlinna theory on complete K\"ahler manifolds},
  author = {Xianjing Dong},
  journal= {arXiv preprint arXiv:2012.10955},
  year   = {2021}
}

Comments

revised version (arXiv admin note: text overlap with arXiv:2010.06965, arXiv:2001.01679)