| 球面中极小超曲面的Laplacian谱 |
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| 引用本文： | 蔡开仁.球面中极小超曲面的Laplacian谱[J].杭州师范学院学报(社会科学版),1999(3). |
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| 作者姓名： | 蔡开仁 |
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| 作者单位： | 杭州师范学院数学系 |
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| 摘 要： | 本文研究球面 Ｓ~(ｎ＋１）中与 Ｃｌｉｆｆｏｒｄ超曲面等谱的某类极小超曲面，证明了如果此类超曲面的第二基本形式长度平方不小于ｎ，则它与Ｃｌｉｆｆｏｒｄ超曲面等距同构．
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| 关 键 词： | 谱 Laplace算子 Clifford超曲面 |
THE SPECTRUM OF THE LAPLACIAN ON MINIMAL HYPERSURFACES IN A SPHERE |
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| Cai Kairen.THE SPECTRUM OF THE LAPLACIAN ON MINIMAL HYPERSURFACES IN A SPHERE[J].Journal of Hangzhou Teachers College(Humanities and Social Sciences),1999(3). |
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| Authors: | Cai Kairen |
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| Institution: | Departmenf of Mathematics |
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| Abstract: | In this note we study the spectrum of Laplacian for some kind of minimal hypersurface in a sphere S~(n+1) which has the same spectrum as the Clifford hypersurface,and prove that if its square of the length of the second fundamental form is not less than n it is isometric to the Clifford hypersurface. |
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| Keywords: | spectrum Laplacian Clifford hyersurface |
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