Structure theorem for Riemannian surfaces with arbitrary curvature

被引:0
|
作者
Ana Portilla
Jose M. Rodríguez
Eva Tourís
机构
[1] St. Louis University (Madrid Campus),Department of Mathematics
[2] Universidad Carlos III de Madrid,Departamento de Matemáticas, Escuela Politécnica Superior
[3] Universidad Autónoma de Madrid,Departamento de Matemáticas, Facultad de Ciencias
来源
Mathematische Zeitschrift | 2012年 / 271卷
关键词
Riemannian surface; Decomposition of surfaces; Arbitrary curvature; 53C20; 53C22; 58A99;
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学科分类号
摘要
In this paper we prove that any Riemannian surface, with no restriction of curvature at all, can be decomposed into blocks belonging just to some of these types: generalized Y-pieces, generalized funnels and halfplanes.
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页码:45 / 62
页数:17
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