ON THE KOBAYASHI METRICS IN RIEMANNIAN MANIFOLDS

被引：0

作者：

Gaussier, Herve ^{[1
]}

Sukhov, Alexandre ^{[2
,3
]}

机构：

[1] Univ Grenoble Alpes, CNRS, IF, F-38000 Grenoble, France

[2] Univ Lille, Dept Math, Lab Paul Painleve, F-59655 Villeneuve Dascq, France

[3] Russian Acad Sci, Subdiv Ufa Res Ctr, Inst Math, Comp Ctr, Chernyshevsky Str 112, Ufa 45008, Russia

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2025年 / 153卷 / 05期

关键词：

Riemannian manifolds; conformal harmonic maps; Kobayashi hyperbolocity; BEHAVIOR;

D O I：

10.1090/proc/16946

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define the Kobayashi distance and the Kobayashi-Royden infinitesimal metric on any smooth Riemannian manifold (M, g), using conformal harmonic immersions from the unit disk in C into M. We also study their basic properties, following the approach developped by H. L. Royden [Remarks on the Kobayashi metric, Springer, Berlin-New York, 1971] for complex manifolds.

引用

页码：1993 / 2006

页数：14

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