余辛空间形式中的子流形不等式

数学季刊 ›› 2005, Vol. 20 ›› Issue (4): 372-379.

余辛空间形式中的子流形不等式

Department of Mathematics,Henan Normal University,Xinriang 453007,China

收稿日期:2004-09-05 出版日期:2005-12-30 发布日期:2024-01-04
作者简介:LI Xing-xiao(1958-),male,native of Jiyuan,Henan,a professor of Henan Normal University, Ph.D.,engages in Riemannian geometry and submanifolds;HUANG Guang-yue(1976-),male native of Puyang, Henan,a lecture of Henan Normal University,M.S.D.,engages in Riemannian geometry.
基金资助:
Supported by the Natural Science Foundation of Henan(004051900)；

Some Inequalities for Submanifolds in Cosymplectic Space Forms

Department of Mathematics,Henan Normal University,Xinriang 453007,China

Received:2004-09-05 Online:2005-12-30 Published:2024-01-04
About author:LI Xing-xiao(1958-),male,native of Jiyuan,Henan,a professor of Henan Normal University, Ph.D.,engages in Riemannian geometry and submanifolds;HUANG Guang-yue(1976-),male native of Puyang, Henan,a lecture of Henan Normal University,M.S.D.,engages in Riemannian geometry.
Supported by:
Supported by the Natural Science Foundation of Henan(004051900)；

摘要/Abstract

摘要： For submanifolds in a cosymplectic space form tangent to the structure vector field ξ, two important inequalities with Ricci curvature, scalar curvature and the squared mean curvature are obtained. These results are also applied to get corresponding consequences for anti-invariant submanifolds.

关键词: cosymplectic space forms, anti-invariant submanifolds

Abstract: For submanifolds in a cosymplectic space form tangent to the structure vector field ξ, two important inequalities with Ricci curvature, scalar curvature and the squared mean curvature are obtained. These results are also applied to get corresponding consequences for anti-invariant submanifolds.

Key words: cosymplectic space forms, anti-invariant submanifolds

中图分类号:

O186.12

李兴校, 黄广月. 余辛空间形式中的子流形不等式[J]. 数学季刊, 2005, 20(4): 372-379.

LI Xing-xiao, HUANG Guang-yue. Some Inequalities for Submanifolds in Cosymplectic Space Forms[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(4): 372-379.

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