Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds
Abstract In this paper, we study semi-slant submanifolds and their warped products in Kenmotsu manifolds. The existence of such warped products in Kenmotsu manifolds is shown by an example and a characterization. A sharp relation is obtained as a lower bound of the squared norm of second fundamental...
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World Scientific Publishing
2017-04-01
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| Series: | Bulletin of Mathematical Sciences |
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| Online Access: | http://link.springer.com/article/10.1007/s13373-017-0106-9 |
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doaj-6363e66c97824893b946dbbb896b1d432020-11-24T21:43:52ZengWorld Scientific PublishingBulletin of Mathematical Sciences1664-36071664-36152017-04-018343545110.1007/s13373-017-0106-9Geometry of warped product semi-slant submanifolds of Kenmotsu manifoldsSiraj Uddin0Department of Mathematics, Faculty of Science, King Abdulaziz UniversityAbstract In this paper, we study semi-slant submanifolds and their warped products in Kenmotsu manifolds. The existence of such warped products in Kenmotsu manifolds is shown by an example and a characterization. A sharp relation is obtained as a lower bound of the squared norm of second fundamental form in terms of the warping function and the slant angle. The equality case is also considered in this paper. Finally, we provide some applications of our derived results.http://link.springer.com/article/10.1007/s13373-017-0106-9Warped productsSlant submanifoldsSemi-slant submanifoldsContact CR-warped productsWarped product semi-slant submanifoldsKenmotsu manifolds |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Siraj Uddin |
| spellingShingle |
Siraj Uddin Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds Bulletin of Mathematical Sciences Warped products Slant submanifolds Semi-slant submanifolds Contact CR-warped products Warped product semi-slant submanifolds Kenmotsu manifolds |
| author_facet |
Siraj Uddin |
| author_sort |
Siraj Uddin |
| title |
Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds |
| title_short |
Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds |
| title_full |
Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds |
| title_fullStr |
Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds |
| title_full_unstemmed |
Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds |
| title_sort |
geometry of warped product semi-slant submanifolds of kenmotsu manifolds |
| publisher |
World Scientific Publishing |
| series |
Bulletin of Mathematical Sciences |
| issn |
1664-3607 1664-3615 |
| publishDate |
2017-04-01 |
| description |
Abstract In this paper, we study semi-slant submanifolds and their warped products in Kenmotsu manifolds. The existence of such warped products in Kenmotsu manifolds is shown by an example and a characterization. A sharp relation is obtained as a lower bound of the squared norm of second fundamental form in terms of the warping function and the slant angle. The equality case is also considered in this paper. Finally, we provide some applications of our derived results. |
| topic |
Warped products Slant submanifolds Semi-slant submanifolds Contact CR-warped products Warped product semi-slant submanifolds Kenmotsu manifolds |
| url |
http://link.springer.com/article/10.1007/s13373-017-0106-9 |
| work_keys_str_mv |
AT sirajuddin geometryofwarpedproductsemislantsubmanifoldsofkenmotsumanifolds |
| _version_ |
1725911533317259264 |