| 联系于实向量丛一对截面的P o i n c a r é - H o p f型公式 |
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| 引用本文： | 陈 旭,冯惠涛.联系于实向量丛一对截面的P o i n c a r é - H o p f型公式[J].西南农业大学学报,2012,34(4):113-117. |
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| 作者姓名： | 陈 旭 冯惠涛 |
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| 作者单位： | 重庆理工大学数学与统计学院 |
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| 摘 要： | 通过符号差Z2-分次将2n维Spin流形上关于复化切丛TMC截面的Poincaré-Hopf型公式推广到2n维非Spin流形上,并对于联系于定向实向量丛的一对截面建立了相应的Poincaré-Hopf型公式.
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| 关 键 词： | 陈特征数 超向量丛 符号差Z2-分次 Poincaré-Hopf型公式 |
A Poincaré-Hopf Type Formula for a Pair of Sections of a Real Vector Bundle |
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| CHEN Xu,FENG Hui-tao.A Poincaré-Hopf Type Formula for a Pair of Sections of a Real Vector Bundle[J].Journal of Southwest Agricultural University,2012,34(4):113-117. |
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| Authors: | CHEN Xu FENG Hui-tao |
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| Affiliation: | School of Mathematics and Statistics,Chongqing University of Technology,Chongqing 400050,China |
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| Abstract: | The Poincaré-Hopf type formula for section of TMC over a spin manifold of dimension 2n to non-spin manifold of dimension 2n is generalized by signature Z2-grading,and a Poincaré-Hopf type formula for a pair of sections of an oriented real vector bundle of rank 2n over a closed,oriented manifold of dimension 2n is established. |
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| Keywords: | Chern character number super vector bundle signature Z2-grading Poincaré-Hopf type formula |
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