International Journal of Mathematics and Mathematical Sciences
Volume 11 (1988), Issue 3, Pages 507-515
doi:10.1155/S0161171288000602

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

Bang-Yen Chen1 and Bao-Qiang Wu2

1Department of Mathematics, Michigan State University, East Lansing 48824, Michigan, USA
2Department of Mathematics, Xuzhou Teacher's College, Jiangsu, China

Received 4 June 1987

Copyright © 1988 Bang-Yen Chen and Bao-Qiang Wu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.