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

  • Ki, U-Hang (Department of Mathematics Kyungpook National University ) ;
  • Kim, Byung-Hak (Department of Mathematics Kyung Hee University ) ;
  • Kim, He-Jin (Department of Mathematics Kyungpook National University )
  • Published : 1995.11.01

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 $H_nC$.