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.
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页码：111 / 121
页数：11
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