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Lifts of a Quarter-Symmetric Metric Connection from a Sasakian Manifold to Its Tangent Bundle.
- Source :
-
Mathematics (2227-7390) . Jan2023, Vol. 11 Issue 1, p53. 12p. - Publication Year :
- 2023
-
Abstract
- The objective of this paper is to explore the complete lifts of a quarter-symmetric metric connection from a Sasakian manifold to its tangent bundle. A relationship between the Riemannian connection and the quarter-symmetric metric connection from a Sasakian manifold to its tangent bundle was established. Some theorems on the curvature tensor and the projective curvature tensor of a Sasakian manifold with respect to the quarter-symmetric metric connection to its tangent bundle were proved. Finally, locally ϕ -symmetric Sasakian manifolds with respect to the quarter-symmetric metric connection to its tangent bundle were studied. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TANGENT bundles
*SASAKIAN manifolds
*CURVATURE
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 11
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 161183753
- Full Text :
- https://doi.org/10.3390/math11010053