拟常全纯截面曲率空间中的2调和子流形

数学季刊 ›› 2013, Vol. 28 ›› Issue (2): 166-171.

拟常全纯截面曲率空间中的2调和子流形

College of Mathematics and Computer Science, Anhui Normal University

收稿日期:2011-07-04 出版日期:2013-06-30 发布日期:2023-02-28
作者简介: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.
基金资助:
Supported by the National Natural Science Foundation of China(11071005)； Supported by the Natural Science Foundation of Anhui Province Education Department(KJ2008A05zC)

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

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)

摘要/Abstract

摘要： 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.

关键词: 2-harmonic, minimal, quasi constant holomorphic sectional curvature

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

中图分类号:

O186.12

朱静勇, 宋卫东. 拟常全纯截面曲率空间中的2调和子流形[J]. 数学季刊, 2013, 28(2): 166-171.

ZHU Jing-yong, SONG Wei-dong. 2-harmonic Submanifolds in a Quasi Constant Holomorphic Sectional Curvature Space[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(2): 166-171.

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