Nevanlinna-type theory based on heat diffusion
Complex Variables
2022-12-14 v6 Probability
Abstract
We obtain an analogue of Nevanlinna theory of holomorphic mappings from a complete and stochastically complete K\"ahler manifold into a complex projective manifold. When certain curvature conditions are imposed, the Nevanlinna-type defect relation based on heat diffusion is derived.
Cite
@article{arxiv.2006.04572,
title = {Nevanlinna-type theory based on heat diffusion},
author = {Xianjing Dong},
journal= {arXiv preprint arXiv:2006.04572},
year = {2022}
}
Comments
The final version, accepted by Asian J. Math