The Schwarz lemma in K\"ahler and non-K\"ahler geometry
Differential Geometry
2022-12-26 v3 Algebraic Geometry
Complex Variables
Abstract
We introduce two new curvatures which refine and elucidate the real bisectional curvature considered by Yang-Zheng \cite{YangZheng}. A unified perspective of the various forms of the Schwarz lemma is given, leading to novel Chern-Lu, Aubin-Yau, and Chen-Cheng-Look Schwarz lemmas in both the K\"ahler and Hermitian category.
Keywords
Cite
@article{arxiv.2109.06331,
title = {The Schwarz lemma in K\"ahler and non-K\"ahler geometry},
author = {Kyle Broder},
journal= {arXiv preprint arXiv:2109.06331},
year = {2022}
}
Comments
To appear in the Asian Journal of Mathematics