Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3524
Abstract
The purpose of this article is to study the geometry of gradient almost Yamabe solitons immersed in warped product manifolds I ×f Mn whose potential is given by the height function from the immersion. First, we present some geometric rigidity on compact solitons due to a curvature condition on the warped product manifold. In the sequel, we investigate conditions for the existence of totally geodesic, totally umbilical, and minimal solitons. Furthermore, in the scope of constant angle immersions, a classification of rotational gradient almost Yamabe solitons immersed in R ×f Rn is also made.
Keywords
almost Yamabe solitons, rotational gradient Yamabe solitons, totally geodesic hypersurface, totally umbilical hypersurface, warped product, Yamabe solitons
First Page
541
Last Page
556
Recommended Citation
TOKURA, WILLIAN; ADRIANO, LEVI; BATISTA, ELISMAR; and BEZERRA, ADRIANO
(2024)
"Gradient almost Yamabe solitons immersed into a Riemannian warped productmanifold,"
Turkish Journal of Mathematics: Vol. 48:
No.
3, Article 13.
https://doi.org/10.55730/1300-0098.3524
Available at:
https://journals.tubitak.gov.tr/math/vol48/iss3/13
