3 papers
math.DG2026
On strongly convex Kähler--Berwald manifolds
Xiaoshu Ge
For every real Berwald strongly convex complex Finsler manifold , if the Cartan nonlinear connection satisfies the parallelism condition , we co…
math.DG2026
On the Definition and Smooth Examples of Weakly Kähler--Finsler Metrics
Xiaoshu Ge
The generalization of the Kähler metric in the complex Finsler setting admits four natural versions. Among these, the strongly Kähler--Finsler condition is known to coincide with o…
math.DG2022
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…