Geometric inequalities for Einstein totally real submanifolds in a complex space form

Abstract

Two geometric inequalities are established for Einstein totally real submanifolds in a complex space form. As immediate applications of these inequalities, some non-existence results are obtained.

10 pages

References in corpus (2)

• Inequalities for generalized normalized $\delta$-Casorati curvatures of slant submanifolds in quaternionic space forms
• Classification of ideal submanifolds of real space forms with type number $\le 2$