Results 1 to 10 of about 156 (146)

∗-η-Ricci Soliton and Gradient Almost ∗-η-Ricci Soliton Within the Framework of Para-Kenmotsu Manifolds

Frontiers in Physics, 2022
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 metrics.
Santu Dey, Nasser Bin Turki
exaly   +3 more sources

∗-Ricci solitons and gradient almost ∗-Ricci solitons on Kenmotsu manifolds [PDF]

Mathematica Slovaca, 2019
Abstract In this paper, we consider *-Ricci soliton in the frame-work of Kenmotsu manifolds. First, we prove that if (M, g) is a Kenmotsu manifold and g is a *-Ricci soliton, then soliton constant λ is zero. For 3-dimensional case, if M admits a *-Ricci soliton, then we show that M is of constant sectional curvature –1. Next, we show that if M admits a
Aruna Kumara H, Devaraja Mallesha Naik
exaly   +3 more sources

Ricci-Bourguignon Solitons With Certain Applications to Relativity

Journal of Mathematics
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, Mohammad Nazrul Islam Khan, Uday Chand De, Yanlin Li   +3 more
doaj   +2 more sources

Characterizations of generalized Robertson-Walker spacetimes concerning gradient solitons. [PDF]

Heliyon
In this article, we examine gradient type Ricci solitons and (m,τ)-quasi Einstein solitons in generalized Robertson-Walker (GRW) spacetimes. Besides, we demonstrate that in this scenario the GRW spacetime presents the Robertson-Walker (RW) spacetime and ...
De K, Khan MNI, De UC.
europepmc   +2 more sources

2-Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons

Journal of Mathematics
In this study, we present the notion of 2-conformal vector fields on Riemannian and semi-Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2-conformal. A few
Rawan Bossly, Ghodratallah Fasihi-Ramandi, Mohd Danish Siddiqi   +2 more
doaj   +2 more sources

Exploring Conformal Soliton Structures in Tangent Bundles with Ricci-Quarter Symmetric Metric Connections

Mathematics
In this study, we investigate the tangent bundle TM of an n-dimensional (pseudo-)Riemannian manifold M equipped with a Ricci-quarter symmetric metric connection ∇˜.
Aydin Gezer, Yanlin Li
exaly   +3 more sources

A study on conformal Ricci solitons and conformal Ricci almost solitons within the framework of almost contact geometry

Karpatsʹkì Matematičnì Publìkacìï, 2023
The goal of this paper is to find some important Einstein manifolds using conformal Ricci solitons and conformal Ricci almost solitons. We prove that a Kenmotsu metric as a conformal Ricci soliton is Einstein if it is an $\eta$-Einstein or the potential ...
S. Dey
doaj   +1 more source

On a Class of Gradient Almost Ricci Solitons [PDF]

Bulletin of the Malaysian Mathematical Sciences Society, 2020
In this study, we provide some classifications for half-conformally flat gradient $f$-almost Ricci solitons, denoted by $(M, g, f)$, in both Lorentzian and neutral signature. First, we prove that if $||\nabla f||$ is a non-zero constant, then $(M, g, f)$ is locally isometric to a {warped product} of the form $I \times_φ N$, where $I \subset \mathbb{R}$
Güler, Sinem, Güler, Sinem
openaire   +2 more sources

RICCI SOLITONS AND GRADIENT RICCI SOLITONS ON NEARLY KENMOTSU MANIFOLDS [PDF]

Facta Universitatis, Series: Mathematics and Informatics, 2019
In this paper, we study nearly Kenmotsu manifolds with Ricci soliton and we obtain certain conditions about curvature tensors.
Ayar, Gülhan, Yıldırım, Mustafa
openaire   +5 more sources

INEQUALITIES FOR GRADIENT EINSTEIN AND RICCI SOLITONS [PDF]

Facta Universitatis, Series: Mathematics and Informatics, 2020
This short note concerns with two inequalities in the geo\-me\-try of gradient Einstein solitons $(g, f, \lambda )$ on a smooth manifold $M$. These inequalities provide some relationships between the curvature of the Riemannian metric $g$ and the behavior of the scalar field $f$ through two quadratic equations satisfied by the scalar $\lambda $.
Blaga, Adara-Monica, Crasmareanu, Mircea
openaire   +1 more source