| 关于Riemann流形的某些整体性质 |
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| 引用本文： | 汪富泉,吴金文. 关于Riemann流形的某些整体性质[J]. 吉首大学学报(自然科学版), 1991, 0(1) |
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| 作者姓名： | 汪富泉 吴金文 |
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| 作者单位： | 四川师范学院数学系(汪富泉)，吉首大学数学系(吴金文) |
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| 基金项目： | 四川师范学院青年科学基金资助课题 |
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| 摘 要： | 本文运用拟共形曲率张量研究了Riemann流形上调和P—形式与Killing P—形式的不存在性,给出了拟共形平坦流形和拟常曲率流形上不存在非零调和P—形式与Kill-lug P—形式的条件.它们分别是K Yano,Bochner,Goldberg等相应结果的有趣推广.
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| 关 键 词： | 调和p—形式 Killing p—形式 Betti数 曲率张量 |
On some global properties of Riemannian manifold |
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| Wang Fuguan Wu Jinwen. On some global properties of Riemannian manifold[J]. Journal of Jishou University(Natural Science Edition), 1991, 0(1) |
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| Authors: | Wang Fuguan Wu Jinwen |
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| Affiliation: | Wang Fuguan Wu Jinwen(Sichuan teacher' s college) (Jishou University) |
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| Abstract: | In this paper,we studied non-exitence of harmonic p-formsand Killing p-forms on Riemannian manifolds under quasi-conformal curvature tensor satisfying centain conditions, and gave conditions of non-exitence for non zero harmonic p-forms and killing p-forms on conformally flat manifold and quasi-constant curvatare manifold. Our results are interesting genera lization of Yano, K. [4 5], Bochner[7] and Goldberg [6]. |
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| Keywords: | Harmonic p-form Killing p-form Betti number Quasi-conformal curvature tensor Quasi-conformally flat manifold Quasi-constant curvature manifold. |
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