In:
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Vol. 72, No. 3 ( 2023-05-14), p. 826-838
Kurzfassung:
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 $H^{2n+1}(1)$.
Materialart:
Online-Ressource
ISSN:
1303-5991
DOI:
10.31801/cfsuasmas.1172289
Sprache:
Englisch
Verlag:
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Publikationsdatum:
2023
ZDB Id:
2697303-0
ZDB Id:
2697373-X
SSG:
17,1
