| 黎曼流形特征值的积分不等式 |
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| 引用本文： | 蔡开仁,丁家驹. 黎曼流形特征值的积分不等式[J]. 杭州师范学院学报(社会科学版), 1992, 0(6) |
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| 作者姓名： | 蔡开仁 丁家驹 |
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| 作者单位： | 杭州师范学院数学系(蔡开仁)，杭州师范学院数学系(丁家驹) |
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| 摘 要： | 本文给出了n+p维空间形式S~(n+P)(c)中子流形M上Laplace算子特征值的一个积分不等式,并确定了M为全脐点子流形的特征。这个结果改进了Leung,P.F.的有关定理。
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| 关 键 词： | 空间形式 Laplace算子 特征值 |
AN INTEGRAL INEQUALITY ON EIGENVALUES OF RIEMANNIAN MANIFOLDS |
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| Cai Kairen Ding Jiaju. AN INTEGRAL INEQUALITY ON EIGENVALUES OF RIEMANNIAN MANIFOLDS[J]. Journal of Hangzhou Teachers College(Humanities and Social Sciences), 1992, 0(6) |
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| Authors: | Cai Kairen Ding Jiaju |
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| Affiliation: | Department of Mathematics |
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| Abstract: | We establish an integral inequality of eigenvalues of Laplace operator on the compact subraanifold M immersed in the space form Sn+p(c). From this we obtain a character that M becomes a totally umbilical submani-fold. It generalizes a recent result due to Leung, P. F.. |
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| Keywords: | space form Laplace operator eigenvalue. |
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