The transversal submanifolds and Gauss-Bonnet-Chern theorem

被引：7
|
作者：
Yang, GH [1 ]
机构：
[1] Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China
来源：
MODERN PHYSICS LETTERS A | 1998年 / 13卷 / 26期
关键词：
D O I：
10.1142/S0217732398002242
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
From general phi-mapping method and transverse theory, the Gauss-Bonnet-Chern theorem is discussed in detail. Through the calculation of the generalized Winding number, i.e. the degree of Gauss map, the Euler-Poincare characteristic is decomposed in terms of two transversal submanifolds. This decomposition is a further detailed study of Gauss-Bonnet-Chern theorem and Poincare-Hopf index theorem.
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页码：2123 / 2130
页数：8
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