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.
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1988-01-01
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Online Access: | http://dx.doi.org/10.1155/S0161171288000602 |
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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 |
_version_ |
1725317226616061952 |