Totally umbilical proper slant submanifolds of para-Kenmotsu manifold
In this paper, we study slant submanifolds of a para-Kenmotsu manifold. We prove that totally umbilical slant submanifold of a para-Kenmotsu manifold is either invariant or anti-invariant or dimension of submanifold is 1 or the mean curvature vector H of the submanifold lies in the invariant normal...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universidad de La Frontera
2019-08-01
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| Series: | Cubo |
| Subjects: | |
| Online Access: | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2155/1888 |
| _version_ | 1819228228073553920 |
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| author | M.S. Siddesha C.S. Bagewadi D. Nirmala |
| author_facet | M.S. Siddesha C.S. Bagewadi D. Nirmala |
| author_sort | M.S. Siddesha |
| collection | DOAJ |
| description | In this paper, we study slant submanifolds of a para-Kenmotsu manifold. We prove that totally umbilical slant submanifold of a para-Kenmotsu manifold is either invariant or anti-invariant or dimension of submanifold is 1 or the mean curvature vector H of the submanifold lies in the invariant normal subbundle. |
| first_indexed | 2024-12-23T10:53:56Z |
| format | Article |
| id | doaj.art-f7dc39fae66145969074a5b314ff48ef |
| institution | Directory Open Access Journal |
| issn | 0716-7776 0719-0646 |
| language | English |
| last_indexed | 2024-12-23T10:53:56Z |
| publishDate | 2019-08-01 |
| publisher | Universidad de La Frontera |
| record_format | Article |
| series | Cubo |
| spelling | doaj.art-f7dc39fae66145969074a5b314ff48ef2022-12-21T17:49:50ZengUniversidad de La FronteraCubo0716-77760719-06462019-08-01212414910.4067/S0719-06462019000200041Totally umbilical proper slant submanifolds of para-Kenmotsu manifoldM.S. Siddesha0C.S. Bagewadi1D. Nirmala2Department of mathematics, New Horizon College of Engineering, Bangalore, India.Department of Mathematics, Kuvempu University, Shankaraghatta, Shimoga, Karnataka, India.Department of Mathematics, Kuvempu University, Shankaraghatta, Shimoga, Karnataka, India.In this paper, we study slant submanifolds of a para-Kenmotsu manifold. We prove that totally umbilical slant submanifold of a para-Kenmotsu manifold is either invariant or anti-invariant or dimension of submanifold is 1 or the mean curvature vector H of the submanifold lies in the invariant normal subbundle.http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2155/1888para-kenmotsu manifoldtotally umbilicalslant submanifold |
| spellingShingle | M.S. Siddesha C.S. Bagewadi D. Nirmala Totally umbilical proper slant submanifolds of para-Kenmotsu manifold Cubo para-kenmotsu manifold totally umbilical slant submanifold |
| title | Totally umbilical proper slant submanifolds of para-Kenmotsu manifold |
| title_full | Totally umbilical proper slant submanifolds of para-Kenmotsu manifold |
| title_fullStr | Totally umbilical proper slant submanifolds of para-Kenmotsu manifold |
| title_full_unstemmed | Totally umbilical proper slant submanifolds of para-Kenmotsu manifold |
| title_short | Totally umbilical proper slant submanifolds of para-Kenmotsu manifold |
| title_sort | totally umbilical proper slant submanifolds of para kenmotsu manifold |
| topic | para-kenmotsu manifold totally umbilical slant submanifold |
| url | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2155/1888 |
| work_keys_str_mv | AT mssiddesha totallyumbilicalproperslantsubmanifoldsofparakenmotsumanifold AT csbagewadi totallyumbilicalproperslantsubmanifoldsofparakenmotsumanifold AT dnirmala totallyumbilicalproperslantsubmanifoldsofparakenmotsumanifold |