The Schwarz lemmas on complex Finsler manifolds with growing or decaying 条件
In this paper, we give two types of Schwarz lemmas on complex Finsler manifolds. The first is the Schwarz 引理 on a strongly pseudoconvex complex Finsler manifold with nonpositive holomorphic sectional curvature bounded below by a growing function. The second is the Schwarz 引理 on a strongly convex weakly Kähler-Finsler manifold with a pole, whose nonpositive holomorphic sectional curvature is bounded below by a decaying function.
Authors
- Chunhui Qiu (ORCID: https://orcid.org/0000-0003-4757-7782)
- Li Duoxin
- Zhang Qixin
Publication Details
- Journal
- Scientia Sinica Mathematica
- Published
- 2025-05-01
- DOI
- https://doi.org/10.1360/scm-2025-0026
- Primary Topic
- Advanced Differential Geometry Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00