On the three-dimensional CR-submanifolds of the six-dimensional sphere
We show that the six-dimensional sphere does not admit three-dimensionel totally umbilical proper CR-submanifolds.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171291000893 |
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Article |
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doaj-32d605bd1d2a4d5caf03982bba0138d02020-11-24T22:57:02ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114467567810.1155/S0161171291000893On the three-dimensional CR-submanifolds of the six-dimensional sphereM. A. Bashir0Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWe show that the six-dimensional sphere does not admit three-dimensionel totally umbilical proper CR-submanifolds.http://dx.doi.org/10.1155/S0161171291000893totally umbilical submanifoldstotally real submanifoldsCR-submanifolds almost complex structure. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. A. Bashir |
| spellingShingle |
M. A. Bashir On the three-dimensional CR-submanifolds of the six-dimensional sphere International Journal of Mathematics and Mathematical Sciences totally umbilical submanifolds totally real submanifolds CR-submanifolds almost complex structure. |
| author_facet |
M. A. Bashir |
| author_sort |
M. A. Bashir |
| title |
On the three-dimensional CR-submanifolds of the six-dimensional sphere |
| title_short |
On the three-dimensional CR-submanifolds of the six-dimensional sphere |
| title_full |
On the three-dimensional CR-submanifolds of the six-dimensional sphere |
| title_fullStr |
On the three-dimensional CR-submanifolds of the six-dimensional sphere |
| title_full_unstemmed |
On the three-dimensional CR-submanifolds of the six-dimensional sphere |
| title_sort |
on the three-dimensional cr-submanifolds of the six-dimensional sphere |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1991-01-01 |
| description |
We show that the six-dimensional sphere does not admit three-dimensionel totally
umbilical proper CR-submanifolds. |
| topic |
totally umbilical submanifolds totally real submanifolds CR-submanifolds almost complex structure. |
| url |
http://dx.doi.org/10.1155/S0161171291000893 |
| work_keys_str_mv |
AT mabashir onthethreedimensionalcrsubmanifoldsofthesixdimensionalsphere |
| _version_ |
1725652306156847104 |