8 citations · 8 across the 6 of their papers we have counts for
8 papers
Schwarz lemma on bounded symmetric domains endowed with holomorphic invariant Kähler--Berwald metrics
Yong He, Chunping Zhong
We prove a rigidity theorem: a globally symmetric complex Finsler space is necessarily a Kähler-Berwald space, namely must be a Kähler-Berwald metric. We also obtai…
Schwarz lemma on polydiscs endowed with holomorphic invariant Kähler-Berwald metrics
Shuqing Lin, Liling Sun, Chunping Zhong
In this paper, we obtain a Schwarz lemma for holomorphic mappings from the unit polydisc into the unit polydisc , here and are endowed with $\mbox{Aut}(P_m)$…
Geometry of holomorphic invariant strongly pseudoconvex complex Finsler metrics on the classical domains
Xiaoshu Ge, Chunping Zhong
In this paper, a class of holomorphic invariant metrics is introduced on the irreducible classical domains of type I-IV, which are strongly pseudoconvex complex Finsler metrics in…
Holomorphic invariant strongly pseudoconvex complex Finsler metrics
Chunping Zhong
Let and be the unit ball and the unit polydisk in with respectively. Denote $\mbox{Aut}(B_n)$ and $\mbox{Aut}(P_n)$ the holomorphic automorphis…
Schwarz lemma from a Kähler manifold into a complex Finsler manifold
Jun Nie, Chunping Zhong
Suppose that is a Kähler manifold with a pole such that its holomorphic sectional curvature is bounded from below by a constant and its radial sectional curvature is also bound…
A Schwarz lemma for weakly Kähler-Finsler manifolds
Jun Nie, Chunping Zhong
In this paper, we first establish several theorems about the estimation of distance function on real and strongly convex complex Finsler manifolds and then obtain a Schwarz lemma f…
On -invariant strongly convex complex Finsler metrics
Kun Wang, Hongchuan Xia, Chunping Zhong
In this paper, we obtain a necessary and sufficient condition for a -invariant complex Finsler metric on domains in to be strongly convex, which also makes…
On strongly convex projectively flat and dually flat complex Finsler metrics
Hongchuan Xia, Chunping Zhong
In this paper, we prove that a strongly convex complex Finsler metric on a domain is projectively flat (resp. dually flat) if and only if comes from…