Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (2): 166-171.

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2-harmonic Submanifolds in a Quasi Constant Holomorphic Sectional Curvature Space

  

  1. College of Mathematics and Computer Science, Anhui Normal University

  • Received:2011-07-04 Online:2013-06-30 Published:2023-02-28
  • About author:ZHU Jing-yong(1987-), male, native of Lu’an, Anhui, a graduate student, engages in global differential geometry; SONG Wei-dong(1958-), male, native of Tongcheng, Anhui, a professor of Anhui Normal University, engages in global differential geometry.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11071005); Supported by the Natural Science Foundation of Anhui Province Education Department(KJ2008A05zC)

Abstract: In the present paper, the authors study totally real 2-harmonic submanifolds in a quasi constant holomorphic sectional curvature space and obtain a Simons’ type integral inequality of compact submanifolds as well as some pinching theorems on the second fundamental form.

Key words: 2-harmonic, minimal, quasi constant holomorphic sectional curvature

CLC Number: