Complete submanifolds of manifolds of negative curvature |
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Authors: | Qiaoling Wang Changyu Xia |
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Institution: | 1.Departamento de Matemática,Universidade de Brasília,Brasília,Brazil |
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Abstract: | In this article, we give sufficient conditions for a complete non-compact submanifold in a simply connected manifold of negative
sectional curvature to have only one end. We also prove some Liouville theorems for harmonic maps from the same kind of submanifolds
to manifolds of non-positive curvature. |
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Keywords: | |
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