# Totally real submanifolds with parallel mean curvature vector in a complex space form

• Ki, U-Hang ;
• Kim, Byung-Hak ;
• Kim, He-Jin
• Published : 1995.11.01
• 29 2

#### Abstract

Let $M_n$(c) be an n-dimensional complete and simply connected Kahlerian manifold of constant holomorphic sectional curvature c, which is called a complex space form. Then according to c > 0, c = 0 or c < 0 it is a complex projective space $P_nC$, a complex Euclidean space $C^n$ or a complex hyperbolic space $H_nC$.

#### Keywords

Tatally real submanifolds;complex space form;totally geodesic