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
收藏
页数：14
相关论文
共 50 条
12345