Bochner Kaehler流形中子流形的Casorati曲率不等式  

Inequalities for Casorati Curvatures of Submanifolds in a Bochner Kaehler Manifold

作　　者：刘旭东 蔡丹丹 张量 LIU Xudong;CAI Dandan;ZHANG Liang(School of Mathematics and Statistics , Anhui Normal Uniwersity , Wuhu 211003, Anhui Prowince , China)

机构地区：[1]安徽师范大学数学与统计学院,安徽芜湖241003

出　　处：《吉林大学学报（理学版）》2018年第3期537-543,共7页Journal of Jilin University:Science Edition

基　　金：安徽省高校优秀青年人才项目基金(批准号:2011SQRL021ZD)

摘　　要：利用一个新的代数不等式,对Bochner Kaehler流形中的子流形建立两个关于广义标准δ-Casorati曲率的不等式,并给出子流形的标准数量曲率与外在不变量Casorati曲率之间的关系.By using a new algebraic inequality,we established two inequalities for generalized normalized Casorati curvatures of submanifolds in a Bochner Kaehler manifold,which gave relationships between the normalized scalar curvatures and the extrinsic invariants Casorati curvatures of submanifolds.

关 键 词：不等式 Casorati曲率 EINSTEIN流形 斜子流形 BOCHNER KAEHLER流形 

分 类 号：O186.12[理学—数学]