Results 1 to 10 of about 1,131 (182)

Conformally Flat Siklos Metrics Are Ricci Solitons

Axioms, 2020
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, Calvaruso Giovanni
exaly   +4 more sources

h-Almost Ricci–Yamabe Solitons in Paracontact Geometry

Mathematics, 2022
In this article, we classify h-almost Ricci–Yamabe solitons in paracontact geometry. In particular, we characterize para-Kenmotsu manifolds satisfying h-almost Ricci–Yamabe solitons and 3-dimensional para-Kenmotsu manifolds obeying h-almost gradient ...
Uday Chand De, Mohammad Nazrul Islam Khan, Arpan Sardar   +2 more
doaj   +2 more sources

Study of η-Ricci–Yamabe Solitons and Ricci–Yamabe solitons in a Lorentzian Nearly Kähler Space-Time Manifold

Journal of Mathematics
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.
B. B. Chaturvedi, Neha Chauhan, Mohammad Nazrul Islam Khan   +2 more
doaj   +2 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

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

Ricci Solitons and Generalized Ricci Solitons Whose Potential Vector Fields Are Jacobi-Type

Journal of Mathematics
This paper is devoted to Ricci solitons admitting a Jacobi-type vector field. First, we present some rigidity results for Ricci solitons Mn,g,V,λ admitting a Jacobi-type vector field ξ and provide conditions under which ξ is Killing.
Vahid Pirhadi, Ghodratallah Fasihi-Ramandi, Shahroud Azami   +2 more
doaj   +2 more sources

Solitonic View of Generic Contact CR-Submanifolds of Sasakian Manifolds with Concurrent Vector Fields

Mathematics, 2023
This paper mainly devotes to the study of some solitons such as Ricci and Yamabe solitons and also their combination called Ricci-Yamabe solitons.
Vandana, Rajeev Budhiraja, Aliya Naaz Siddiqui, Ali Hussain Alkhaldi   +3 more
doaj   +1 more source

Gradient Ricci–Yamabe Soliton on Twisted Product Manifolds

Journal of Mathematics, 2022
In this paper, we study the twisted product manifolds with gradient Ricci–Yamabe solitons. Then, we classify and characterize the warped product and twisted product spaces with gradient Ricci–Yamabe solitons.
Byung Hak Kim, Jin Hyuk Choi, Sang Deok Lee, Chang Yong Han   +3 more
doaj   +1 more source

LP-Kenmotsu Manifolds Admitting η-Ricci Solitons and Spacetime

Journal of Mathematics, 2022
In the present paper, LP-Kenmotsu manifolds admitting η-Ricci solitons have been studied. Moreover, some results for η-Ricci solitons in LP-Kenmotsu manifolds in the spacetime of general relativity have also been proved.
Yanlin Li, Abdul Haseeb, Musavvir Ali
doaj   +1 more source

Some geometrical properties of 4D homogeneous pseudo-Riemannian space with trivial isotropy [PDF]

ریاضی و جامعه, 2022
In this paper, we first consider $4D$ conformally flat homogeneous pseudo-Riemannian space with trivial isotropy, then, we investigate some geometrical properties such as being Ricci solitons and Walker on the spaces under consideration.
Yadollah Aryanejad
doaj   +1 more source