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VECTOR BUNDLE, KILLING VECTOR FIELD AND PONTRYAGIN NUMBERS

VECTOR BUNDLE, KILLING VECTOR FIELD AND PONTRYAGIN NUMBERS
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摘要 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. 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.
作者 周建伟
机构地区 Mathematics Department
出处 《苏州大学学报(自然科学版)》 CAS 1991年第2期131-139,共9页 Journal of Soochow University(Natural Science Edition)
关键词 向量丛 KILLING向量场 PONTRYAGIN数 RIEMANN流形 vector bundle, Killing vector field, connection, Pontryagin number.
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