| Gauss-Bonnet公式的另一种表示形式 |
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| 引用本文： | 傅朝金,宋来忠. Gauss-Bonnet公式的另一种表示形式[J]. 湖北师范学院学报(哲学社会科学版), 1996, 0(3) |
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| 作者姓名： | 傅朝金 宋来忠 |
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| 摘 要： | 设M为n=2P维的紧致定向Riemann流形,本文将证明Gauss-Bonnet公式可表示成 x(M)=((-1)~p/2~pπ~p)∫_(mΩ_(1…n)) 其中,对任意偶数m≤n。 Ω_(i_1…i_m)=(sum from k)ε((1K2…K-1K+1…m)(1…m)Ω_(i_1i_k)∧Ω_(i_2…i_(k-1)i_(k+1)…i_m))
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| 关 键 词： | Gauss-Bonnet公式 Riemann流形 Euler-Poincar示性数 |
A NEW REPERSENTATION FORM OF THE GAUSS-BONNET FORMULE |
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| Fu Chaojin Song Laizhong. A NEW REPERSENTATION FORM OF THE GAUSS-BONNET FORMULE[J]. Journal of Hubei Normal University(Philosophy and Social Science), 1996, 0(3) |
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| Authors: | Fu Chaojin Song Laizhong |
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| Affiliation: | Fu Chaojin Song Laizhong(Hubei Normal University) (Yichang Institute of Education) |
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| Abstract: | |
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| Keywords: | Garss-Bonnet formula Riemannian manifold Euler-Poincare characteristic number. |
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