A HOPF INDEX THEOREM FOR A REAL VECTOR BUNDLE
被引量:1
A HOPF INDEX THEOREM FOR A REAL VECTOR BUNDLE
摘要
The authors generalize the works in [5] and [6] to prove a Hopf index theorem associated to a smooth section of a real vector bundle with non-isolated zero points.
二级参考文献2
-
1A. Soufi,X. P. Wang.Some remarks on Witten’s method. Poincaré-Hopf theorem and Atiyah-Bott formula[J].Annals of Global Analysis and Geometry.1987(3)
-
2Witten,E.Supersymmetry and Morse theory, J[].Differential Geometry and Its Applications.1982
-
1高红铸.RP^2嵌入非正定四维流形的法Euler示性数[J].科学通报,1991,36(1):7-9.
-
2肖志祥,韦儒和.一个几何不等式的推广[J].广西师范学院学报(自然科学版),2005,22(1):102-105.
-
3刘长安,刘效丽.实二次型的符号差[J].数学通报,1992,31(11):33-36. 被引量:1
-
4徐邦腾.一类实二次型的秩和符号差的简单求法[J].数学通报,1991,30(9):34-35.
-
5廖山涛.NOTES ON A STUDY OF VECTOR BUNDLE DYNAMICAL SYSTEMS(Ⅰ)[J].Applied Mathematics and Mechanics(English Edition),1995,16(9):813-823. 被引量:2
-
6求莲萍,雷逢春.链环的色度及Jones多项式的次数[J].黑龙江大学自然科学学报,2007,24(5):658-661.
-
7李鹏.关于Euler示性数导出不变的注记[J].西南民族大学学报(自然科学版),2012,38(4):554-556.
-
8姜咏梅.边不交圈的图的符号差(英文)[J].数学进展,2014,43(6):863-868. 被引量:1
-
9朱正元.一种常见高次曲面的性质[J].中央民族大学学报(自然科学版),1994,3(2):82-86.
-
10刘彦佩.组合地图的同构[J].沈阳师范大学学报(自然科学版),2005,23(1):1-7. 被引量:2