On CR-submanifolds of the six-dimensional sphere
We consider proper CR-submanifolds of the six-dimensional sphere S6. We prove that S6 does not admit compact proper CR-submanifolds with non-negative sectional curvature and integrable holomorphic distribution.
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| Format: | Article |
| Language: | English |
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Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000251 |
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| _version_ | 1841524608631570432 |
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| author | M. A. Bashir |
| author_facet | M. A. Bashir |
| author_sort | M. A. Bashir |
| collection | DOAJ |
| description | We consider proper CR-submanifolds of the six-dimensional sphere S6. We prove
that S6 does not admit compact proper CR-submanifolds with non-negative sectional curvature
and integrable holomorphic distribution. |
| format | Article |
| id | doaj-art-308d89f246ac457283d29cdf52b78546 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-308d89f246ac457283d29cdf52b785462025-02-03T05:47:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118120120310.1155/S0161171295000251On CR-submanifolds of the six-dimensional sphereM. A. Bashir0Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWe consider proper CR-submanifolds of the six-dimensional sphere S6. We prove that S6 does not admit compact proper CR-submanifolds with non-negative sectional curvature and integrable holomorphic distribution.http://dx.doi.org/10.1155/S0161171295000251CR-submanifoldsKaehler manifoldnearly Kaehler manifold the six-dimensional spherealmost complex structures. |
| spellingShingle | M. A. Bashir On CR-submanifolds of the six-dimensional sphere International Journal of Mathematics and Mathematical Sciences CR-submanifolds Kaehler manifold nearly Kaehler manifold the six-dimensional sphere almost complex structures. |
| title | On CR-submanifolds of the six-dimensional sphere |
| title_full | On CR-submanifolds of the six-dimensional sphere |
| title_fullStr | On CR-submanifolds of the six-dimensional sphere |
| title_full_unstemmed | On CR-submanifolds of the six-dimensional sphere |
| title_short | On CR-submanifolds of the six-dimensional sphere |
| title_sort | on cr submanifolds of the six dimensional sphere |
| topic | CR-submanifolds Kaehler manifold nearly Kaehler manifold the six-dimensional sphere almost complex structures. |
| url | http://dx.doi.org/10.1155/S0161171295000251 |
| work_keys_str_mv | AT mabashir oncrsubmanifoldsofthesixdimensionalsphere |