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SOME RESULTS ON LP-SASAKIAN MANIFOLDS.
- Source :
-
Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics . 2020, Vol. 13 Issue 1, p89-100. 12p. - Publication Year :
- 2020
-
Abstract
- The object of the present paper is to characterize LP-Sasakian manifolds satisfying Ricci pseudosymmetry and Ricci generalized pseudosymmetry. Beside this we prove that if R(X; ξ):P = P(X; ξ):R holds, where R and P denote the curvature tensor and projective curvature tensor respectively, then the manifold becomes an Einstein manifold. Then we prove that divR = 0 and divC = 0 are equivalent if the scalar curvature is invariant under the characteristic vector field ξ, where 'div' denotes divergence. Finally, we characterize 3-dimensional LP-Sasakian manifolds admitting Yamabe solitons and prove that the scalar curvature is constant and the potential vector field V is Killing. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EINSTEIN manifolds
*MANIFOLDS (Mathematics)
*VECTOR fields
*CURVATURE
*SOLITONS
Subjects
Details
- Language :
- English
- ISSN :
- 20652151
- Volume :
- 13
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics
- Publication Type :
- Academic Journal
- Accession number :
- 145249992
- Full Text :
- https://doi.org/10.31926/but.mif.2020.13.62.1.8