On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds
After brief introduction, we prove that a totally contact umbilical CR- lightlike submanifold is totally contact geodesic. We obtain a necessary and sufficient condition for a CR-lightlike submanifold to be an anti-invariant submanifold. Finally, we characterize a contact CR-lightlike submanifold of...
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De Gruyter
2014-03-01
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| Series: | Demonstratio Mathematica |
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| Online Access: | http://www.degruyter.com/view/j/dema.2014.47.issue-1/dema-2014-0014/dema-2014-0014.xml?format=INT |
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doaj-983cff0c925f4b32af9f781e34e79b6e |
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Article |
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doaj-983cff0c925f4b32af9f781e34e79b6e2020-11-25T01:39:04ZengDe GruyterDemonstratio Mathematica0420-12132391-46612014-03-0147117017810.2478/dema-2014-0014dema-2014-0014On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian ManifoldsGogna Manish0Kumar Rakesh1Nagaich R. K.2BABA BANDA SINGH BAHADUR ENGINEERING COLLEGE FATHEHGARH SAHIB, INDIADEPARTMENT OF BASIC AND APPLIED SCIENCES PUNJABI UNIVERSITY PATIALA, INDIADEPARTMENT OF MATHEMATICS PUNJABI UNIVERSITY PATIALA, INDIAAfter brief introduction, we prove that a totally contact umbilical CR- lightlike submanifold is totally contact geodesic. We obtain a necessary and sufficient condition for a CR-lightlike submanifold to be an anti-invariant submanifold. Finally, we characterize a contact CR-lightlike submanifold of indefinite Sasakian manifold to be a contact CR-lightlike producthttp://www.degruyter.com/view/j/dema.2014.47.issue-1/dema-2014-0014/dema-2014-0014.xml?format=INTindefinite Sasakian manifoldslightlike submanifoldscontact CR-lightlike submanifoldstotally contact umbilical submanifolds |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Gogna Manish Kumar Rakesh Nagaich R. K. |
| spellingShingle |
Gogna Manish Kumar Rakesh Nagaich R. K. On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds Demonstratio Mathematica indefinite Sasakian manifolds lightlike submanifolds contact CR-lightlike submanifolds totally contact umbilical submanifolds |
| author_facet |
Gogna Manish Kumar Rakesh Nagaich R. K. |
| author_sort |
Gogna Manish |
| title |
On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds |
| title_short |
On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds |
| title_full |
On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds |
| title_fullStr |
On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds |
| title_full_unstemmed |
On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds |
| title_sort |
on totally contact umbilical contact cr-lightlike submanifolds of indefinite sasakian manifolds |
| publisher |
De Gruyter |
| series |
Demonstratio Mathematica |
| issn |
0420-1213 2391-4661 |
| publishDate |
2014-03-01 |
| description |
After brief introduction, we prove that a totally contact umbilical CR- lightlike submanifold is totally contact geodesic. We obtain a necessary and sufficient condition for a CR-lightlike submanifold to be an anti-invariant submanifold. Finally, we characterize a contact CR-lightlike submanifold of indefinite Sasakian manifold to be a contact CR-lightlike product |
| topic |
indefinite Sasakian manifolds lightlike submanifolds contact CR-lightlike submanifolds totally contact umbilical submanifolds |
| url |
http://www.degruyter.com/view/j/dema.2014.47.issue-1/dema-2014-0014/dema-2014-0014.xml?format=INT |
| work_keys_str_mv |
AT gognamanish ontotallycontactumbilicalcontactcrlightlikesubmanifoldsofindefinitesasakianmanifolds AT kumarrakesh ontotallycontactumbilicalcontactcrlightlikesubmanifoldsofindefinitesasakianmanifolds AT nagaichrk ontotallycontactumbilicalcontactcrlightlikesubmanifoldsofindefinitesasakianmanifolds |
| _version_ |
1725050597257773056 |