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CHARACTERIZATION OF A PARASASAKIAN MANIFOLD ADMITTING BACH TENSOR.
- Source :
-
Communications Series A1 Mathematics & Statistics . 2023, Vol. 72 Issue 3, p826-838. 13p. - Publication Year :
- 2023
-
Abstract
- In the present article, our aim is to characterize Bach flat paraSasakian manifolds. It is established that a Bach flat paraSasakian manifold of dimension greater than three is of constant scalar curvature. Next, we prove that if the metric of a Bach flat paraSasakian manifold is a Yamabe soliton, then the soliton field becomes a Killing vector field. Finally, it is shown that a 3-dimensional Bach flat paraSasakian manifold is locally isometric to the hyperbolic space H2n+1(1). [ABSTRACT FROM AUTHOR]
- Subjects :
- *VECTOR fields
*CURVATURE
Subjects
Details
- Language :
- English
- ISSN :
- 13035991
- Volume :
- 72
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Communications Series A1 Mathematics & Statistics
- Publication Type :
- Academic Journal
- Accession number :
- 172907059
- Full Text :
- https://doi.org/10.31801/cfsuasmas.1172289