局部共形Kaehler空间子流形的陈不等式  

Chen s inequalities for submanifolds of locally conformal Kaehler space forms

作　　者：吴彤 WU Tong(School of Mathematics and Statistics,Northest Normal University,Changchun 130024,China)

机构地区：[1]东北师范大学数学与统计学院,吉林长春130024

出　　处：《东北师大学报（自然科学版）》2021年第3期128-131,共4页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11771070).

摘　　要：通过子流形的基本公式和1/4对称联络在局部共形Kaehler空间下的曲率张量,计算出了子流形的截面曲率以及数量曲率,利用二者的关系,得到了陈不等式,并且给出了其等式情况.By means of the basic formula of submanifold and the curvature tensor of 1/4 symmetric connection in locally conformal kaehler space,the sectional curvature and quantitative curvature of submanifold are calculated.Then,the relation between them is used to obtain Chen s inequalities for submanifolds,and equality cases are also discussed.

关 键 词：局部共形Kaehler空间 1/4对称联络 陈不等式 

分 类 号：O186.1[理学—数学]