Results 71 to 80 of about 301,190 (180)
Randers Ricci soliton homogeneous nilmanifolds
Let $F$ be a left-invariant Randers metric on a simply connected nilpotent Lie group $N$, induced by a left-invariant Riemannian metric $\hat{\boldsymbol{a}}$ and a vector field $X$ which is $I_{\hat{\boldsymbol{a}}}(M)$-invariant.
Salimi Moghaddam, Hamid Reza
core
*-Ricci soliton on (κ, μ)′-almost Kenmotsu manifolds
Let (M, g) be a non-Kenmotsu (κ, μ)′-almost Kenmotsu manifold of dimension 2n + 1. In this paper, we prove that if the metric g of M is a *-Ricci soliton, then either M is locally isometric to the product ℍn+1(−4)×ℝn or the potential vector field is ...
X. Dai, Yan Zhao, Uday Chand De
semanticscholar +1 more source
Generalized Z‐Solitons on LP‐Sasakian Manifolds With the General Connection
This work focuses on LP‐Sasakian manifolds endowed with generalized Z‐solitons constructed with respect to an arbitrary affine connection. To conclude, we provide an explicit and nontrivial example in the four‐dimensional case, thereby establishing the realization of such solitons on LP‐Sasakian manifolds.
Shahroud Azami +2 more
wiley +1 more source
This paper investigates the complete lift of para‐Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η‐Ricci solitons in the lifted setting.
Lalnunenga Colney +3 more
wiley +1 more source
Ricci-Bourguignon Solitons With Certain Applications to Relativity
This article concerns with the investigation of Ricci-Bourguignon solitons and gradient Ricci-Bourguignon solitons in perfect fluid space-times and generalised Robertson–Walker space-times.
Krishnendu De +3 more
doaj +1 more source
Gradient Ricci Bourguignon solitons on perfect fluid space-times [PDF]
The main purpose of the present paper is about characterizing the properties of the perfect fluid space-time that admits the gradient Ricci-Bourguignon soliton. This gives some results about the stability of the energy-momentum tensor and also under some
Sakineh Hajiaghasi, Shahroud Azami
doaj +1 more source
An η‐Ricci–Yamabe solitons is a notion of both Ricci and Yamabe solitons, defined by a geometric equation involving a tensor field, which has applications in general relativity and cosmology. The objective of the present research is to examine η‐Ricci–Yamabe solitons and Ricci–Yamabe solitons on covariant projectively flat and concircularly flat ...
B. B. Chaturvedi +3 more
wiley +1 more source
Conformally Flat Siklos Metrics Are Ricci Solitons
We study and solve the Ricci soliton equation for an arbitrary locally conformally flat Siklos metric, proving that such spacetimes are always Ricci solitons.
Giovanni Calvaruso
doaj +1 more source
Almost $$*$$-Ricci soliton on paraKenmotsu manifolds
We consider almost $$*$$ ∗ -Ricci solitons in the context of paracontact geometry, precisely, on a paraKenmotsu manifold. First, we prove that if the metric g of $$\eta $$ η -Einstein paraKenmotsu manifold is $$*$$ ∗ Ricci soliton, then M is ...
V. Venkatesha, H. A. Kumara, D. Naik
semanticscholar +1 more source
Codimension one Ricci soliton subgroups of nilpotent Iwasawa groups [PDF]
Any expanding homogeneous Ricci soliton (in particular any homogeneous Einstein manifold of negative scalar curvature) can be obtained, up to isometry, from a Lie subgroup of a nilpotent Iwasawa group $N$ whose induced metric is a Ricci soliton.
Sanmartin-Lopez, Victor
core +1 more source

