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

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.

Bibliographic Details
Main Authors:	Bang-Yen Chen, Bao-Qiang Wu
Format:	Article
Language:	English
Published:	Hindawi Limited 1988-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	CR-submanifolds complex hyperbolic space mixed foliate.
Online Access:	http://dx.doi.org/10.1155/S0161171288000602

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spelling	doaj-1668ffe473724986b6c0e973ce957d9c2020-11-25T00:33:06ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111350751510.1155/S0161171288000602Mixed foliate CR-submanifolds in a complex hyperbolic space are non-properBang-Yen Chen0Bao-Qiang Wu1Department of Mathematics, Michigan State University, East Lansing 48824, Michigan, USADepartment of Mathematics, Xuzhou Teacher's College, Jiangsu, ChinaIt 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.http://dx.doi.org/10.1155/S0161171288000602CR-submanifoldscomplex hyperbolic spacemixed foliate.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Bang-Yen Chen Bao-Qiang Wu
spellingShingle	Bang-Yen Chen Bao-Qiang Wu Mixed foliate CR-submanifolds in a complex hyperbolic space are non-proper International Journal of Mathematics and Mathematical Sciences CR-submanifolds complex hyperbolic space mixed foliate.
author_facet	Bang-Yen Chen Bao-Qiang Wu
author_sort	Bang-Yen Chen
title	Mixed foliate CR-submanifolds in a complex hyperbolic space are non-proper
title_short	Mixed foliate CR-submanifolds in a complex hyperbolic space are non-proper
title_full	Mixed foliate CR-submanifolds in a complex hyperbolic space are non-proper
title_fullStr	Mixed foliate CR-submanifolds in a complex hyperbolic space are non-proper
title_full_unstemmed	Mixed foliate CR-submanifolds in a complex hyperbolic space are non-proper
title_sort	mixed foliate cr-submanifolds in a complex hyperbolic space are non-proper
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1988-01-01
description	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.
topic	CR-submanifolds complex hyperbolic space mixed foliate.
url	http://dx.doi.org/10.1155/S0161171288000602
work_keys_str_mv	AT bangyenchen mixedfoliatecrsubmanifoldsinacomplexhyperbolicspacearenonproper AT baoqiangwu mixedfoliatecrsubmanifoldsinacomplexhyperbolicspacearenonproper
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Mixed foliate CR-submanifolds in a complex hyperbolic space are non-proper

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