Geometric and topological rigidity for compact submanifolds of odd dimension

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：wuyegongjue1

【摘要】

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We investigate rigidity problems for odd-dimensional compact submanifolds.We show that if Mn(n 5)is an odd-dimensional compact submanifold with parallel mean cu

【作者】

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XU HongWei LENG Yan GU JuanRu

【机构】

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CenterofMathematicalSciences

【出处】

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中国科学：数学英文版

【发表日期】

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2014年7期

【关键词】

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紧致子流形刚性问题奇数平行平均曲率拓扑几何空间形态锰 submanifoldsgeometric and topological rigidity

【基金项目】

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supported by National Natural Science Foundation of China （Grant Nos.11071211,11371315 and 11301476）,the Trans-Century Training Programme Foundation for Talents by the Ministry of Education of China,t

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We investigate rigidity problems for odd-dimensional compact submanifolds.We show that if Mn(n 5)is an odd-dimensional compact submanifold with parallel mean curvature in Sn+p,and if RicM>(n-2-1n)(1+H2)and H<δn,whereδn is an explicit positive consta

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