KWON, J.-H. and PAK, J.S.: CR-submanifolds of (n-1) CR-dimension in a Complex projective space

Saitama Mathematical Journal 1997(Vol. 15) pp.55-65


The purpose of this paper is to give some characterization of n-dinemsional CR-submanifolds of (n-1) CR-dimension immersed in a complex projective space CP(n+p)/2 and give necessary and sufficient conditions in order that the submanifold is a tube over totally geodesic complex subspace.

1991 AMS subject classification

53C40, 53C15

Key words and phrases

CR-submanifold, CR-dimension, maximal J-invariant subspace, shape operator, cyclic-parallel, normal.