Characteristic Lightlike Submanifolds of an Indefinite S-Manifold
We study characteristic r-lightlike submanifolds M tangent to the characteristic vector fields in an indefinite metric S-manifold, and we also discuss the existence of characteristic lightlike submanifolds of an indefinite S-space form under suitable hypotheses: (1) M is totally umbilical or (2) its...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/140259 |
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| _version_ | 1832563685643517952 |
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| author | Jae Won Lee |
| author_facet | Jae Won Lee |
| author_sort | Jae Won Lee |
| collection | DOAJ |
| description | We study characteristic r-lightlike submanifolds M tangent to the characteristic vector fields in an indefinite metric S-manifold, and we also discuss the existence of characteristic lightlike submanifolds of an indefinite S-space form under suitable hypotheses: (1) M is totally umbilical or (2) its screen distribution S(TM) is totally umbilical in M. |
| format | Article |
| id | doaj-art-1390a470ca8640a8b16c4413460a6bc4 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1390a470ca8640a8b16c4413460a6bc42025-02-03T01:12:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/140259140259Characteristic Lightlike Submanifolds of an Indefinite S-ManifoldJae Won Lee0Department of Mathematics, Sogang University, Sinsu-Dong, Mapo-Gu, Seoul 121-742, Republic of KoreaWe study characteristic r-lightlike submanifolds M tangent to the characteristic vector fields in an indefinite metric S-manifold, and we also discuss the existence of characteristic lightlike submanifolds of an indefinite S-space form under suitable hypotheses: (1) M is totally umbilical or (2) its screen distribution S(TM) is totally umbilical in M.http://dx.doi.org/10.1155/2011/140259 |
| spellingShingle | Jae Won Lee Characteristic Lightlike Submanifolds of an Indefinite S-Manifold International Journal of Mathematics and Mathematical Sciences |
| title | Characteristic Lightlike Submanifolds of an Indefinite S-Manifold |
| title_full | Characteristic Lightlike Submanifolds of an Indefinite S-Manifold |
| title_fullStr | Characteristic Lightlike Submanifolds of an Indefinite S-Manifold |
| title_full_unstemmed | Characteristic Lightlike Submanifolds of an Indefinite S-Manifold |
| title_short | Characteristic Lightlike Submanifolds of an Indefinite S-Manifold |
| title_sort | characteristic lightlike submanifolds of an indefinite s manifold |
| url | http://dx.doi.org/10.1155/2011/140259 |
| work_keys_str_mv | AT jaewonlee characteristiclightlikesubmanifoldsofanindefinitesmanifold |