ON INTRINSIC RIGIDITY FOR MINIMAL SUBMANIFOLDS IN A SPHERE 被引量：6

ON INTRINSIC RIGIDITY FOR MINIMAL SUBMANIFOLDS IN A SPHERE

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摘要 In this paper, some intrinsic rigidity theorems are given for compact minimal submanifolds in a sphere. In particular, the pinching constant of J. Simons is improved for higher codimensions. In this paper, some intrinsic rigidity theorems are given for compact minimal submanifolds in a sphere. In particular, the pinching constant of J. Simons is improved for higher codimensions.

作者沈一兵

机构地区 Hangzhou University

出处《Science China Mathematics》 SCIE 1989年第7期769-781,共13页 中国科学：数学（英文版）

基金 Project supported by the National Natural Science Foundation of China.

关键词 minimal SUBMANIFOLD CURVATURE PINCHING SCALAR CURVATURE rigidity. minimal submanifold, curvature pinching, scalar curvature, rigidity.

分类号 N [自然科学总论]

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1刘建成,张秋燕,张德燕.单位球面中具有平行单位平均曲率向量的子流形[J].西北师范大学学报（自然科学版）,2006,42(4):1-4. 被引量：1
2XU Hong-wei ZHU Jiao-feng.An optimal rigidity theorem for complete submanifolds in a sphere[J].Applied Mathematics(A Journal of Chinese Universities),2008,23(2):219-226. 被引量：1
3李光汉,吴传喜.子流形刚性定理[J].数学物理学报（A辑）,2001,21(4):480-484. 被引量：2

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3XU Hong-wei ZHU Jiao-feng.An optimal rigidity theorem for complete submanifolds in a sphere[J].Applied Mathematics(A Journal of Chinese Universities),2008,23(2):219-226. 被引量：1
4刘建成,张晶晶.球面中具有平行单位平均曲率向量的完备子流形[J].西北师范大学学报（自然科学版）,2012,48(1):6-10.
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6程村,吴传喜.关于球面上极小子流形的内蕴刚性[J].湖北大学学报（自然科学版）,2003,25(2):105-112.

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1吴筱怡,徐慧群.局部对称空间中的极小子流形[J].杭州师范大学学报（自然科学版）,2009,8(5):342-345.
2刘建成,张晶晶.球面中具有平行单位平均曲率向量的完备子流形[J].西北师范大学学报（自然科学版）,2012,48(1):6-10.
3李影,宋卫东.局部对称共形平坦黎曼流形中法丛平坦的伪脐子流形[J].杭州师范大学学报（自然科学版）,2015,14(1):82-86.

1LI Song-Ying 1,2, & WEI DongHuan 1 1 School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China,2 Department of Mathematics, University of California, Irvine, CA 92697-3875, USA.On the rigidity theorem for harmonic functions in Khler metric of Bergman type[J].Science China Mathematics,2010,53(3):779-790. 被引量：1
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6PENG WenJuan 1, & TAN Lei 2 1 School of Mathematical Sciences, Peking University, Beijing 100871, China,2 Departement de Mathematiques, Universited’Angers, Angers 49045, France.Combinatorial rigidity of unicritical maps[J].Science China Mathematics,2010,53(3):831-848. 被引量：1
7SONG Ruifang.Elliptic genera of homogeneous spin manifolds and theta functions identities[J].Science China Mathematics,2005,48(12):1637-1645.
8魏明江.关于δ-Pinching流形中具有平行第二基本形式的子流形[J].安庆师范学院学报（自然科学版）,2010,16(3):25-28. 被引量：2
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10DONG Yuxin LU Guozhen.On second order minimal Lagrangian submanifolds in complex space forms[J].Science China Mathematics,2005,48(11):1505-1516. 被引量：1

Science China Mathematics

1989年第7期

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ON INTRINSIC RIGIDITY FOR MINIMAL SUBMANIFOLDS IN A SPHERE 被引量：6

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引证文献6

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