Characterization of a paraSasakian manifold admitting Bach tensor-Reference-Cited by-同舟云学术

Characterization of a paraSasakian manifold admitting Bach tensor

Published:2023-05-14 Issue:3 Volume:72 Page:826-838
ISSN:1303-5991
Container-title:Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
language:en
Short-container-title:Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

Author:

DE U.c.¹^ORCID,GHOSH Gopal²^ORCID,DE Krishnendu³^ORCID

Affiliation:

1. University of Calcutta

2. Cooch Behar Government Engineering College

3. Kabi Sukanta Mahavidyalaya, The University of Burdwan

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 $H^{2n+1}(1)$.

Publisher

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Subject

General Medicine

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