Results 41 to 50 of about 129 (84)

CERTAIN RESULTS OF RICCI-YAMABE SOLITONS ON $(LCS)_N$-MANIFOLDS [PDF]

, 2022
The goal of this paper is to characterize Lorentzian concircular structure manifolds (briefly, $(LCS)_n$-manifolds) admitting Ricci-Yamabe solitons.
Zosangzuala, Chhakchhuak, Singh, Jay Prakash   +1 more
core   +1 more source

On a class of exact locally conformal cosymlectic manifolds

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 267-278, 1996., 1994
An almost cosymplectic manifold M is a (2m + 1)‐dimensional oriented Riemannian manifold endowed with a 2‐form Ω of rank 2m, a 1‐form η such that Ωm Λ η ≠ 0 and a vector field ξ satisfying iξΩ = 0 and η(ξ) = 1. Particular cases were considered in [3] and [6].
I. Mihai, L. Verstraelen, R. Rosca
wiley   +1 more source

Almostη-Ricci and almostη-Yamabe solitons with torse-forming potential vector field

Quaestiones Mathematicae, 2020
We provide properties of almost $η$-Ricci and almost $η$-Yamabe solitons on submanifolds isometrically immersed into a Riemannian manifold $\left(\widetilde{M},\widetilde{g} \right)$ whose potential vector field is the tangential component of a torse-forming vector field on $\widetilde{M}$, treating also the case of a minimal or pseudo quasi-umbilical ...
Blaga, Adara M., Özgür, Cihan
openaire   +4 more sources

η-Ricci solitons in (ε)-almost paracontact metric manifolds [PDF]

, 2018
The object of this paper is to study η -Ricci solitons on ( ε ) -almost paracontact metric manifolds. We investigate η -Ricci solitons in the case when its potential vector field is exactly the characteristic vector field ξ of the ( ε ) -almost ...
Selcen Yüksel Perktaş, Blaga, Adara Monica, Perktaş, Selcen Yüksel, Erdoğan, Feyza Esra, Bilal Eftal Acet, Feyza Esra Erdoğan, Acet, Bilal Eftal, Adara Monica Blaga   +7 more
core   +2 more sources

ON A TORSE-FORMING VECTOR FIELD IN A P-SASAKIAN MANIFOLD [PDF]

ON A TORSE-FORMING VECTOR FIELD IN A P-SASAKIAN MANIFOLD
宮澤, 哲郎, MIYAZAWA, TETURO, ミヤザワ　, テツロウ   +2 more
openaire   +2 more sources

Ricci‐Bourguignon Solitons With Certain Applications to Relativity

Journal of Mathematics, Volume 2025, Issue 1, 2025.
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. First, we deduce the criterion for which the Ricci‐Bourguignon soliton in a perfect fluid space‐time is steady, expanding or shrinking. Then, we establish that if a
Krishnendu De, Mohammad Nazrul Islam Khan, Uday Chand De, Yanlin Li, Pramita Mishra   +4 more
wiley   +1 more source

Geometric Classifications of Perfect Fluid Space‐Time Admit Conformal Ricci‐Bourguignon Solitons

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This paper is dedicated to the study of the geometric composition of a perfect fluid space‐time with a conformal Ricci‐Bourguignon soliton, which is the extended version of the soliton to the Ricci‐Bourguignon flow. Here, we have delineated the conditions for conformal Ricci‐Bourguignon soliton to be expanding, steady, or shrinking.
Noura Alhouiti, Soumendu Roy, Santu Dey, Fatemah Mofarreh, Akram Ali, Yanlin Li, Francisco J. Garcia-Pacheco   +6 more
wiley   +1 more source

The Z‐Tensor on Almost Co‐Kählerian Manifolds Admitting Riemann Soliton Structure

Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.
A Riemann soliton (RS) is a natural generalization of a Ricci soliton structure on pseudo‐Riemannian manifolds. This work aims at investigating almost co‐Kählerian manifolds (ACKM) 2n+1 whose metrics are Riemann solitons utilizing the properties of the Z‐tensor.
Sunil Kumar Yadav, Sameh Shenawy, Nasser Bin Turki, Rajendra Prasad, Mohammad Mirzazadeh   +4 more
wiley   +1 more source

On 3-Dimensional (ε,δ)-Trans-Sasakian Structure [PDF]

, 2013
The object of present paper is to study 3-dimensional $(\varepsilon,\delta)$-trans-Sasakian manifold admitting Ricci solitons and $K$-torse forming vector fields.
Maralabhavi, Y.B., Somashekhara, G., Shivaprasanna, G. S.   +2 more
core   +1 more source

Perfect Fluid Spacetimes Admitting Almost Riemann Solitons

Axioms
In this investigation, we examine the geometric character of almost Riemann solitons and gradient almost Riemann solitons in the context of perfect fluid solutions of the Einstein equations that admit a torse-forming vector field ζ.
Mehdi Jafari, Shahroud Azami
doaj   +1 more source