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.

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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
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article

The Schwarz lemmas on complex Finsler manifolds with growing or decaying 条件

Chunhui Qiu, Li Duoxin, Zhang Qixin
Scientia Sinica Mathematica
Advanced Differential Geometry Research
article

The Schwarz lemmas on complex Finsler manifolds with growing or decaying 条件

Chunhui Qiu, Li Duoxin, Zhang Qixin
article en

Abstract

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.

Scientia Sinica Mathematica
Openalex Percentile: Top 92%
Advanced Differential Geometry Research
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The Schwarz lemmas on complex Finsler manifolds with growing or decaying 条件 — Chunhui Qiu, Li Duoxin, et al. · Scientia Sinica Mathematica (2025) | TGRS Research Map | TGRS