Lightlike Submanifolds of a Semi-Riemannian Manifold of Quasi-Constant Curvature
We study the geometry of lightlike submanifolds (𝑀,𝑔,𝑆(𝑇𝑀),𝑆(𝑇𝑀⟂)) of a semi-Riemannian manifold (𝑀,̃𝑔) of quasiconstant curvature subject to the following conditions: (1) the curvature vector field ζ of 𝑀 is tangent to 𝑀, (2) the screen distribution 𝑆(𝑇𝑀) of 𝑀 is totally geodesic in 𝑀, and (3) th...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/636782 |
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| author | D. H. Jin J. W. Lee |
| author_facet | D. H. Jin J. W. Lee |
| author_sort | D. H. Jin |
| collection | DOAJ |
| description | We study the geometry of lightlike submanifolds (𝑀,𝑔,𝑆(𝑇𝑀),𝑆(𝑇𝑀⟂)) of a semi-Riemannian manifold (𝑀,̃𝑔) of quasiconstant curvature subject to the following conditions: (1) the curvature vector field ζ of 𝑀 is tangent to 𝑀, (2) the screen distribution 𝑆(𝑇𝑀) of 𝑀 is totally geodesic in 𝑀, and (3) the coscreen distribution 𝑆(𝑇𝑀⟂) of 𝑀 is a conformal Killing distribution. |
| format | Article |
| id | doaj-art-d31dfed6cfc440a08013d637835e0f42 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d31dfed6cfc440a08013d637835e0f422025-02-03T05:51:27ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/636782636782Lightlike Submanifolds of a Semi-Riemannian Manifold of Quasi-Constant CurvatureD. H. Jin0J. W. Lee1Department of Mathematics, Dongguk University, Kyongju 780-714, Republic of KoreaDepartment of Mathematics, Sogang University, Sinsu-dong, Mapo-gu, Seoul 121-742, Republic of KoreaWe study the geometry of lightlike submanifolds (𝑀,𝑔,𝑆(𝑇𝑀),𝑆(𝑇𝑀⟂)) of a semi-Riemannian manifold (𝑀,̃𝑔) of quasiconstant curvature subject to the following conditions: (1) the curvature vector field ζ of 𝑀 is tangent to 𝑀, (2) the screen distribution 𝑆(𝑇𝑀) of 𝑀 is totally geodesic in 𝑀, and (3) the coscreen distribution 𝑆(𝑇𝑀⟂) of 𝑀 is a conformal Killing distribution.http://dx.doi.org/10.1155/2012/636782 |
| spellingShingle | D. H. Jin J. W. Lee Lightlike Submanifolds of a Semi-Riemannian Manifold of Quasi-Constant Curvature Journal of Applied Mathematics |
| title | Lightlike Submanifolds of a Semi-Riemannian Manifold of Quasi-Constant Curvature |
| title_full | Lightlike Submanifolds of a Semi-Riemannian Manifold of Quasi-Constant Curvature |
| title_fullStr | Lightlike Submanifolds of a Semi-Riemannian Manifold of Quasi-Constant Curvature |
| title_full_unstemmed | Lightlike Submanifolds of a Semi-Riemannian Manifold of Quasi-Constant Curvature |
| title_short | Lightlike Submanifolds of a Semi-Riemannian Manifold of Quasi-Constant Curvature |
| title_sort | lightlike submanifolds of a semi riemannian manifold of quasi constant curvature |
| url | http://dx.doi.org/10.1155/2012/636782 |
| work_keys_str_mv | AT dhjin lightlikesubmanifoldsofasemiriemannianmanifoldofquasiconstantcurvature AT jwlee lightlikesubmanifoldsofasemiriemannianmanifoldofquasiconstantcurvature |