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2-Harmonic Submanifolds in a Complex Space Form 被引量:12

2-Harmonic Submanifolds in a Complex Space Form
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摘要 In the present paper,the authors study totally real 2-harmonic submanifolds in a complex space form and obtain a Simons' type integral inequality of compact submanifolds as well as some relevant conclusions. In the present paper, the authors study totally real 2-harmonic submanifolds in a complex space form and obtain a Simons' type integral inequality of compact submanifolds as well as some relevant conclusions.
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2008年第3期727-732,共6页 数学研究与评论(英文版)
基金 Natural Science Foundation of Education Department of Anhui Province (No. 2004kj166zd).
关键词 2-HARMONIC MINIMAL totally geodesic complex space form. 微分集合 黎曼几何 数学分析 计算方法
作者简介 E-mail: zhuyecheng929@sina.com
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参考文献5

  • 1JIANG Guoying. 2-harmonic maps and their first and second variational formulas [J]. Chinese Ann. Math. Ser. A, 1986, 7(4): 389-402.
  • 2JIANG Guoying. 2-harmonic isometric immersions between Riemannian manifolds [J]. Chinese Ann. Math. Ser. A, 1986, 7(2): 130-144.
  • 3SUN Hong'an, ZHONG Dingxing. Real 2-harmonic hypersurfaces in complex projective spaces [J]. J. Math. Res. Exposition, 1999, 19(2): 431-436.
  • 4GHEN Bangyen, OGIUE K. On totally real submanifolds [J]. Trans. Amer. Math. Soc., 1974, 193: 257-266.
  • 5LI Anmin, LI Jimin. An intrinsic rigidity theorem for minimal submanifolds in a sphere [J]. Arch. Math. (Basel), 1992, 58(6): 582-594.

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