A Contribution of Liouville-Type Theorems to the Geometry in the Large of Hadamard Manifolds

被引：0

作者：

Mikes, Josef ^{[1
]}

Rovenski, Vladimir ^{[2
]}

Stepanov, Sergey ^{[3
]}

机构：

[1] Palacky Univ Olomouc, Dept Algebra & Geometry, Olomouc 77147, Czech Republic

[2] Univ Haifa, Dept Math, IL-3498838 Haifa, Israel

[3] Finance Univ, Dept Math, Moscow 125468, Russia

来源：

MATHEMATICS | 2022年 / 10卷 / 16期

关键词：

Hadamard manifold; subharmonic; harmonic and convex functions; isometric and harmonic diffeomorphisms; Killing and harmonic tensors; BOCHNER TECHNIQUE; HARMONIC-MAPPINGS;

D O I：

10.3390/math10162880

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A complete, simply connected Riemannian manifold of nonpositive sectional curvature is called a Hadamard manifold. In this article, we prove Liouville-type theorems for isometric and harmonic self-diffeomorphisms of Hadamard manifolds, as well as Liouville-type theorems for Killing-Yano, symmetric Killing and harmonic tensors on Hadamard manifolds.

引用

页数：14

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