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Liouville-type theorems for some classes of Riemannian almost product manifolds and for special mappings of Riemannian manifolds

被引：7
|
作者：
Stepanov, Sergey E. [1 ]
Mikes, Josef [2 ]
机构：
[1] Finance Univ Govt Russian Federat, Dept Math, Leningradsky Prospect 49-55, Moscow 125468, Russia
[2] Palacky Univ, Dept Algebra & Geometry, 17 Listopadu 12, Olomouc 77146, Czech Republic
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2017年 / 54卷
关键词：
Complete Riemannian manifold; Distributions; Submersion; Diffeomorphism; Non-existence theorems; DISTRIBUTIONS; SUBMERSIONS; CURVATURE; GEOMETRY;
D O I：
10.1016/j.difgeo.2017.03.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper we prove Liouville-type theorems: non-existence theorems for some complete Riemannian almost product manifolds and special mappings of complete Riemannian manifolds which generalize similar results for compact manifolds. (C) 2017 Published by Elsevier B.V.
引用
收藏
页码：111 / 121
页数：11
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