Totally Real Sectional Curvature for Submanifolds in Sasakian Space Forms  

作　　者：HUANG Guang-yue MA Bing-qing 

机构地区：[1]Department of Mathematics, Henan Normal University, Xinxiang 453007 China

出　　处：《Chinese Quarterly Journal of Mathematics》2011年第2期174-178,共5页数学季刊（英文版）

基　　金：Supported by the NSFC of China(11001076);Supported by the NSF of Henan Provincial Education Department(2010A110008)

摘　　要：By using the methods introduced by Chen[Chen Bang-yen,A series of Ka¨hlerian invarianrts and their applications to Khlerian geometry,Beitrge 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.By using the methods introduced by Chen[Chen Bang-yen,A series of Ka¨hlerian invarianrts and their applications to Khlerian geometry,Beitrge 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 

分 类 号：O186.12[理学—数学]