Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds of indefinite Kenmotsu manifold
We study totally contact umbilical screen-slant lightlike submanifolds and totally contact umbilical screen-transversal lightlike submanifolds of an indefinite Kenmotsu manifold. We prove a characterization theorem of totally contact umbilical screen-slant lightlike submanifolds of an indefinite Ken...
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| Format: | Article |
| Language: | English |
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Institute of Mathematics of the Czech Academy of Science
2024-12-01
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| Series: | Mathematica Bohemica |
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| Online Access: | https://mb.math.cas.cz/full/149/4/mb149_4_9.pdf |
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| _version_ | 1846140156503916544 |
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| author | Payel Karmakar |
| author_facet | Payel Karmakar |
| author_sort | Payel Karmakar |
| collection | DOAJ |
| description | We study totally contact umbilical screen-slant lightlike submanifolds and totally contact umbilical screen-transversal lightlike submanifolds of an indefinite Kenmotsu manifold. We prove a characterization theorem of totally contact umbilical screen-slant lightlike submanifolds of an indefinite Kenmotsu manifold. We further prove some results on a totally contact umbilical radical screen-transversal lightlike submanifold of an indefinite Kenmotsu manifold, such as the necessary and sufficient conditions for the screen distribution $S(TM)$ to be integrable and for the induced connection $\nabla$ to be a metric connection. |
| format | Article |
| id | doaj-art-c89383fb12a748dfa3f21f72b40d8af4 |
| institution | Kabale University |
| issn | 0862-7959 2464-7136 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Institute of Mathematics of the Czech Academy of Science |
| record_format | Article |
| series | Mathematica Bohemica |
| spelling | doaj-art-c89383fb12a748dfa3f21f72b40d8af42024-12-05T17:45:28ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362024-12-01149460361310.21136/MB.2024.0095-23MB.2024.0095-23Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds of indefinite Kenmotsu manifoldPayel KarmakarWe study totally contact umbilical screen-slant lightlike submanifolds and totally contact umbilical screen-transversal lightlike submanifolds of an indefinite Kenmotsu manifold. We prove a characterization theorem of totally contact umbilical screen-slant lightlike submanifolds of an indefinite Kenmotsu manifold. We further prove some results on a totally contact umbilical radical screen-transversal lightlike submanifold of an indefinite Kenmotsu manifold, such as the necessary and sufficient conditions for the screen distribution $S(TM)$ to be integrable and for the induced connection $\nabla$ to be a metric connection.https://mb.math.cas.cz/full/149/4/mb149_4_9.pdf indefinite kenmotsu manifold lightlike submanifold totally contact umbilical screen-slant lightlike submanifold totally contact umbilical radical screen-transversal lightlike submanifold |
| spellingShingle | Payel Karmakar Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds of indefinite Kenmotsu manifold Mathematica Bohemica indefinite kenmotsu manifold lightlike submanifold totally contact umbilical screen-slant lightlike submanifold totally contact umbilical radical screen-transversal lightlike submanifold |
| title | Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds
of indefinite Kenmotsu manifold |
| title_full | Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds
of indefinite Kenmotsu manifold |
| title_fullStr | Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds
of indefinite Kenmotsu manifold |
| title_full_unstemmed | Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds
of indefinite Kenmotsu manifold |
| title_short | Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds
of indefinite Kenmotsu manifold |
| title_sort | totally contact umbilical screen slant and screen transversal lightlike submanifolds of indefinite kenmotsu manifold |
| topic | indefinite kenmotsu manifold lightlike submanifold totally contact umbilical screen-slant lightlike submanifold totally contact umbilical radical screen-transversal lightlike submanifold |
| url | https://mb.math.cas.cz/full/149/4/mb149_4_9.pdf |
| work_keys_str_mv | AT payelkarmakar totallycontactumbilicalscreenslantandscreentransversallightlikesubmanifoldsofindefinitekenmotsumanifold |