Screen conformal half-lightlike submanifolds
We study some properties of a half-lightlike submanifold M, of a semi-Riemannian manifold, whose shape operator is conformal to the shape operator of its screen distribution. We show that any screen distribution S(TM) of M is integrable and the geometry of M has a close relation with the nondegenera...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204403342 |
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| _version_ | 1832549572321214464 |
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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 study some properties of a half-lightlike submanifold M, of
a semi-Riemannian manifold, whose shape operator is conformal
to the shape operator of its screen distribution. We show that
any screen distribution S(TM) of M is integrable and the
geometry of M has a close relation with the nondegenerate
geometry of a leaf of S(TM). We prove some results on symmetric
induced Ricci tensor and null sectional curvature of this class. |
| format | Article |
| id | doaj-art-46401ca383074f7f91f2aa06b37fcf49 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-46401ca383074f7f91f2aa06b37fcf492025-02-03T06:11:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004683737375310.1155/S0161171204403342Screen conformal half-lightlike submanifoldsK. L. Duggal0B. Sahin1Department of Mathematics and Statistics, University of Windsor, Windsor, Ontario N9B 3P4, CanadaDepartment of Mathematics, Inonu University, Malatya 44100, TurkeyWe study some properties of a half-lightlike submanifold M, of a semi-Riemannian manifold, whose shape operator is conformal to the shape operator of its screen distribution. We show that any screen distribution S(TM) of M is integrable and the geometry of M has a close relation with the nondegenerate geometry of a leaf of S(TM). We prove some results on symmetric induced Ricci tensor and null sectional curvature of this class.http://dx.doi.org/10.1155/S0161171204403342 |
| spellingShingle | K. L. Duggal B. Sahin Screen conformal half-lightlike submanifolds International Journal of Mathematics and Mathematical Sciences |
| title | Screen conformal half-lightlike submanifolds |
| title_full | Screen conformal half-lightlike submanifolds |
| title_fullStr | Screen conformal half-lightlike submanifolds |
| title_full_unstemmed | Screen conformal half-lightlike submanifolds |
| title_short | Screen conformal half-lightlike submanifolds |
| title_sort | screen conformal half lightlike submanifolds |
| url | http://dx.doi.org/10.1155/S0161171204403342 |
| work_keys_str_mv | AT klduggal screenconformalhalflightlikesubmanifolds AT bsahin screenconformalhalflightlikesubmanifolds |