Holomorphic sectional curvature of complex Finsler manifolds
Differential Geometry
2019-08-21 v2
Abstract
In this paper, we get an inequality in terms of holomorphic sectional curvature of complex Finsler metrics. As applications, we prove a Schwarz Lemma from a complete Riemannian manifold to a complex Finsler manifold. We also show that a strongly pseudoconvex complex Finsler manifold with semi-positive but not identically zero holomorphic sectional curvature has negative Kodaira dimension under an extra condition.
Keywords
Cite
@article{arxiv.1710.10246,
title = {Holomorphic sectional curvature of complex Finsler manifolds},
author = {Xueyuan Wan},
journal= {arXiv preprint arXiv:1710.10246},
year = {2019}
}
Comments
20 pages, revised version, to appear in The Journal of Geometric Analysis