Holomorphic Sectional Curvature of Complex Finsler Manifolds
Artikel i vetenskaplig tidskrift, 2019
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.
Holomorphic sectional curvature
Complex Finsler manifolds