Sasakian空间形式中子流形的全实截面曲率

数学季刊 ›› 2011, Vol. 26 ›› Issue (2): 174-178.

Sasakian空间形式中子流形的全实截面曲率

Department of Mathematics, Henan Normal University

收稿日期:2008-06-23 出版日期:2011-06-30 发布日期:2023-04-26
作者简介:HUANG Guang-yue(1976-), male, native of Puyang, Henan, an associate professor of Henan Normal University, Ph.D., engages in geometric analysis.
基金资助:
Supported by the NSFC of China(11001076)； Supported by the NSF of Henan Provincial Education Department(2010A110008)；

Totally Real Sectional Curvature for Submanifolds in Sasakian Space Forms

Department of Mathematics, Henan Normal University

Received:2008-06-23 Online:2011-06-30 Published:2023-04-26
About author:HUANG Guang-yue(1976-), male, native of Puyang, Henan, an associate professor of Henan Normal University, Ph.D., engages in geometric analysis.
Supported by:
Supported by the NSFC of China(11001076)； Supported by the NSF of Henan Provincial Education Department(2010A110008)；

摘要/Abstract

摘要： By using the methods introduced by Chen[Chen Bang-yen, A series of Kahlerian invarianrts and their applications to Kahlerian geometry, Beitrage Algebra Geom,2001,42(1):165-178], we establish some inequalities for invariant submanifolds in a Sasakian space form involving totally real sectional curvature and the scalar curvature. Moreover, we consider the case of equalities.

关键词: Sasakian space forms, invariant submanifolds

Abstract: By using the methods introduced by Chen[Chen Bang-yen, A series of Kahlerian invarianrts and their applications to Kahlerian geometry, Beitrage Algebra Geom,2001,42(1):165-178], we establish some inequalities for invariant submanifolds in a Sasakian space form involving totally real sectional curvature and the scalar curvature. Moreover, we consider the case of equalities.

Key words: Sasakian space forms, invariant submanifolds

中图分类号:

O186.12

黄广月, 马冰清. Sasakian空间形式中子流形的全实截面曲率[J]. 数学季刊, 2011, 26(2): 174-178.

HUANG Guang-yue, MA Bing-qing. Totally Real Sectional Curvature for Submanifolds in Sasakian Space Forms[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 174-178.

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[9]	. [J]. 数学季刊, 2005, 20(3): 289-295.
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