R<sup>n+m</sup>中极小子流形的刚性定理

韩英波; 李静; 方联银

doi:10.3969/j.issn.1003-0972.2015.04.004

韩英波, 李静, 方联银. R^n+m中极小子流形的刚性定理[J]. 信阳师范学院学报(自然科学版), 2015, 28(4): 478-481. DOI: 10.3969/j.issn.1003-0972.2015.04.004

引用本文:

韩英波, 李静, 方联银. R^n+m中极小子流形的刚性定理[J]. 信阳师范学院学报(自然科学版), 2015, 28(4): 478-481. DOI: 10.3969/j.issn.1003-0972.2015.04.004

Han Yingbo , Li Jing , Fang Lianyin . Rigidity Theorem of Minimal Submanifolds in R^n+m[J]. Journal of Xinyang Normal University (Natural Science Edition), 2015, 28(4): 478-481. DOI: 10.3969/j.issn.1003-0972.2015.04.004

Citation:

R^n+m中极小子流形的刚性定理

Rigidity Theorem of Minimal Submanifolds in R^n+m

摘要

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 .

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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Rn+m中极小子流形的刚性定理

Rigidity Theorem of Minimal Submanifolds in Rn+m

R^n+m中极小子流形的刚性定理

Rigidity Theorem of Minimal Submanifolds in R^n+m