| VECTOR BUNDLE, KILLING VECTOR FIELD AND PONTRYAGIN NUMBERS |
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| 作者姓名： | 周建伟 |
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| 作者单位： | [2]苏州大学数学系 |
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| 摘 要： | Let E be a vector bundle over a compact Riemanni an manifold M. We construct a natural metric on the bundle space E and discuss the relationship between the killing vector fields of E and M, Then we give a proof of the Bott-Baum-Cheeger Theorem for vector bundle E.
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| 关 键 词： | 向量丛 KILLING向量场 PONTRYAGIN数 Riemann流形 |
VECTOR BUNDLE, KILLING VECTOR FIELD AND PONTRYAGIN NUMBERS |
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| Zhou Jianwei Mathematics.VECTOR BUNDLE, KILLING VECTOR FIELD AND PONTRYAGIN NUMBERS[J].Journal of Suzhou University(Natural Science),1991,7(2):131-139. |
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| Authors: | Zhou Jianwei Mathematics |
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| Institution: | Zhou Jianwei Mathematics Department |
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| Abstract: | Let E be a vector bundle over a compact Riemannian manifold M. We construct a natural metric on the bundle space E and discuss the relationship between the killing vector fields of E and M. Then we give a proof of the Bott-Baum-Cheeger Theorem for vector bundle E. |
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| Keywords: | vector bundle Killing vector field connection Pontryagin number |
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