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math.DG2015
Minimality of a Kind of Pseudo-Umbilical Totally Real Submanifolds in Non-Flat Complex Space Forms
Liang Zhang, Pan Zhang
In this paper, by studying the position of umbilical normal vectors in the normal bundle, we prove that pseudo-umbilical totally real submanifolds with flat normal connection in no…
math.DG2015
Geometric inequalities for Einstein totally real submanifolds in a complex space form
Pan Zhang, Liang Zhang, Mukut Mani Tripathi
Two geometric inequalities are established for Einstein totally real submanifolds in a complex space form. As immediate applications of these inequalities, some non-existence resul…