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Certain Curvature Conditions on P-Sasakian Manifolds Admitting a Quater-Symmetric Metric Connection.
- Source :
-
Chinese Annals of Mathematics . Jan2020, Vol. 41 Issue 1, p133-146. 14p. - Publication Year :
- 2020
-
Abstract
- The authors consider a quarter-symmetric metric connection in a P-Sasakian manifold and study the second order parallel tensor in a P-Sasakian manifold with respect to the quarter-symmetric metric connection. Then Ricci semisymmetric P-Sasakian manifold with respect to the quarter-symmetric metric connection is considered. Next the authors study ξ-concircularly flat P-Sasakian manifolds and concircularly semisymmetric P-Sasakian manifolds with respect to the quarter-symmetric metric connection. Furthermore, the authors study P-Sasakian manifolds satisfying the condition Z ~ (ξ , Y) ⋅ S ~ = 0 , where Z ~ , S ~ are the concircular curvature tensor and Ricci tensor respectively with respect to the quarter-symmetric metric connection. Finally, an example of a 5-dimensional P-Sasakian manifold admitting quarter-symmetric metric connection is constructed. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MANIFOLDS (Mathematics)
*CURVATURE
*SASAKIAN manifolds
Subjects
Details
- Language :
- English
- ISSN :
- 02529599
- Volume :
- 41
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Chinese Annals of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 139866325
- Full Text :
- https://doi.org/10.1007/s11401-019-0190-0