f (R, T)-gravity is a generalization of Einstein's field equations (EFE s) and f (R)-gravity. In
this research article, we demonstrate the virtues of the f (R, T)-gravity model with Einstein …

The goal of the present study is to study the∗-η-Ricci soliton and gradient almost∗-η-Ricci
soliton within the framework of para-Kenmotsu manifolds as a characterization of Einstein …

In this paper, we study Ricci-Bourguignon soliton and Ricci-Bourguignon almost soliton on a
Riemannian manifold and prove some triviality results. First, we derive some sufficient …

In this paper, we initiate the study of a generalized soliton on a Riemannian manifold, we
find a characterization for the Euclidean space, and in the compact case, we find a sufficient …

The goal of this research paper is to deliberate*-conformal η-Ricci soliton and gradient
almost*-conformal η-Ricci soliton within the framework of para-Kenmotsu manifolds as a …

The-Einstein soliton is a self-similar solution of the Ricci–Bourguignon flow, which includes
or relates to some famous geometric solitons, for example, the Ricci soliton and the Yamabe …

We study some particular cases of soliton-type equations on a Riemannian manifold. We
give an estimation of the first nonzero eigenvalue of the Laplace operator and provide …

In this paper, some sufficient conditions of almost Yamabe solitons are established, such
that the solitons are Yamabe metrics, by which we mean metrics of constant scalar …

Einstein solitons with unit geodesic potential vector field Page 1 http://www.aimspress.com/journal/Math
AIMS Mathematics, 6(8): 7961–7970. DOI:10.3934/math.2021462 Received: 01 April 2021 …

In this paper, we study the gradient estimate for the positive solutions of the equation $\Delta
u+ au (\log u)^{p}+ bu= f $ on an almost Ricci soliton $(M^{n}, g, X,\lambda) $. In a special …