Lightlike Submanifolds of Indefinite Sasakian Manifolds
We first prove some results on invariant lightlike submanifolds of indefinite Sasakian manifolds. Then, we introduce a general notion of contact Cauchy-Riemann (CR) lightlike submanifolds and study the geometry of leaves of their distributions. We also study a class, namely, contact screen Cauchy-Ri...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/57585 |
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| _version_ | 1849684176929816576 |
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| author | K. L. Duggal B. Sahin |
| author_facet | K. L. Duggal B. Sahin |
| author_sort | K. L. Duggal |
| collection | DOAJ |
| description | We first prove some results on invariant lightlike
submanifolds of indefinite Sasakian manifolds. Then, we introduce a general notion of contact Cauchy-Riemann (CR) lightlike submanifolds and study the geometry of leaves of their distributions. We also study a class, namely, contact screen Cauchy-Riemann (SCR) lightlike submanifolds which include invariant and screen real subcases. Finally, we prove characterization theorems on the existence of contact SCR, screen real, invariant, and contact CR minimal lightlike submanifolds. |
| format | Article |
| id | doaj-art-bdc8a0c113644dbca76dd76606efe730 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-bdc8a0c113644dbca76dd76606efe7302025-08-20T03:23:33ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/5758557585Lightlike Submanifolds of Indefinite Sasakian ManifoldsK. L. Duggal0B. Sahin1Department of Mathematics and Statistics, University of Windsor, Windsor, ON N9B 3P4, CanadaDepartment of Mathematics, Inonu University, Malatya 44280, TurkeyWe first prove some results on invariant lightlike submanifolds of indefinite Sasakian manifolds. Then, we introduce a general notion of contact Cauchy-Riemann (CR) lightlike submanifolds and study the geometry of leaves of their distributions. We also study a class, namely, contact screen Cauchy-Riemann (SCR) lightlike submanifolds which include invariant and screen real subcases. Finally, we prove characterization theorems on the existence of contact SCR, screen real, invariant, and contact CR minimal lightlike submanifolds.http://dx.doi.org/10.1155/2007/57585 |
| spellingShingle | K. L. Duggal B. Sahin Lightlike Submanifolds of Indefinite Sasakian Manifolds International Journal of Mathematics and Mathematical Sciences |
| title | Lightlike Submanifolds of Indefinite Sasakian Manifolds |
| title_full | Lightlike Submanifolds of Indefinite Sasakian Manifolds |
| title_fullStr | Lightlike Submanifolds of Indefinite Sasakian Manifolds |
| title_full_unstemmed | Lightlike Submanifolds of Indefinite Sasakian Manifolds |
| title_short | Lightlike Submanifolds of Indefinite Sasakian Manifolds |
| title_sort | lightlike submanifolds of indefinite sasakian manifolds |
| url | http://dx.doi.org/10.1155/2007/57585 |
| work_keys_str_mv | AT klduggal lightlikesubmanifoldsofindefinitesasakianmanifolds AT bsahin lightlikesubmanifoldsofindefinitesasakianmanifolds |