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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Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171291000893 |
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| _version_ | 1832567503170043904 |
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| author | M. A. Bashir |
| author_facet | M. A. Bashir |
| author_sort | M. A. Bashir |
| collection | DOAJ |
| description | We show that the six-dimensional sphere does not admit three-dimensionel totally
umbilical proper CR-submanifolds. |
| format | Article |
| id | doaj-art-32d605bd1d2a4d5caf03982bba0138d0 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1991-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-32d605bd1d2a4d5caf03982bba0138d02025-02-03T01:01:15ZengWileyInternational 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. |
| 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. |
| title | 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_short | On the three-dimensional CR-submanifolds of the six-dimensional sphere |
| title_sort | on the three dimensional cr submanifolds of the six dimensional sphere |
| 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 |