| R~(n+m)中极小子流形的刚性定理 |
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| 作者单位： | ;1.信阳师范学院数学与信息科学学院 |
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| 摘 要： | 研究欧氏空间中不具有平坦法丛的一类特殊极小子流形,利用积分估计方法,证明了若它的第二基本形式满足一些衰减条件,则它是一个仿射平面.
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| 关 键 词： | 极小子流形 δ-超稳定 刚性定理 |
Rigidity Theorem of Minimal Submanifolds in R~(n+m) |
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| Institution: | ,College of Mathematics and Information Science,Xinyang Normal University |
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| Abstract: | A special kind of minimal submanifolds without flat normal bundle in Euclidean space were investigated.By using the integral estimation,these submanifolds were proved to be affine planes if the second fundamental form of them satisfied some decay conditions. |
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| Keywords: | minimal submanifolds δ-super stable rigidity theorem |
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