Mixed foliate CR-submanifolds in a complex hyperbolic space are non-proper

Abstract

It was conjectured in [1 II] (also in [2]) that mixed foliate CR-submanifolds in a complex hyperbolic space are either complex submanifolds or totally real submanifolds. In this paper we give an affirmative solution to this conjecture.

Keywords

• CR-submanifolds
• complex hyperbolic space
• mixed foliate.