Characterization of a paraSasakian manifold admitting Bach tensor

Authors : Uc DE, Gopal GHOSH, Krishnendu DE

Pages : 826-838

Doi:10.31801/cfsuasmas.1172289

View : 32 | Download : 42

Publication Date : 2023-09-30

Article Type : Research Paper

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 $H^{2n+1}insert ignore into journalissuearticles values(1);$.
Keywords : Bach tensor, cotton tensor, paraSasakian manifold