| 定向Riemann流形上的Gilkey定理 |
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| 引用本文： | 梅向明.定向Riemann流形上的Gilkey定理[J].首都师范大学学报(自然科学版),1989,10(4):1-7. |
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| 作者姓名： | 梅向明 |
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| 作者单位： | 北京师范学院数学系 |
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| 摘 要： | 为了给出Aliyah-Singer定理的分析证明,Gilbey发表了他的定理1],后来Aliyah-Bott-Patodi等人把他的证明加以简化2],本文则对Aliyah等人的证明进一步简化,并对流形是定向的情形作了补充。
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| 关 键 词： | Riemann流形 椭圆算子 Atiyah-Singer指标定理 Gilkey定理 |
Gilkey Theorem of Riemaan Orientable Case |
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| Mei Xiangmiag.Gilkey Theorem of Riemaan Orientable Case[J].Journal of Capital Normal University(Natural Science Edition),1989,10(4):1-7. |
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| Authors: | Mei Xiangmiag |
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| Institution: | Department of Mathematics |
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| Abstract: | In order to give an analytic proof of the Atiyah-Siger Index Theorem,Gilkey published his Theorrem, then Atiyah-Bott-Patodi gave another simplified proof.In this paper, we give a more simplified proof and a generalization of manifold to the orientable case. |
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| Keywords: | Riemannian manifold elliptic operator Atiyah-Singer index theorem Gilkey theorem |
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