Results 1 to 10 of about 264 (145)

∗-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, Dey Santu   +2 more
exaly   +3 more sources

Characterizations of Trivial Ricci Solitons

Advances in Mathematical Physics, 2020
Finding characterizations of trivial solitons is an important problem in geometry of Ricci solitons. In this paper, we find several characterizations of a trivial Ricci soliton.
Sharief Deshmukh, Nasser Bin Turki, Hana Alsodais   +2 more
doaj   +3 more sources

Some Properties of the Potential Field of an Almost Ricci Soliton

Mathematics
In this article, we are interested in finding necessary and sufficient conditions for a compact almost Ricci soliton to be a trivial Ricci soliton. As a first result, we show that positive Ricci curvature and, for a nonzero constant c, the integral of ...
Adara M Blaga, Sharief Deshmukh, Blaga Adara M   +2 more
exaly   +3 more sources

A Note on Ricci Solitons [PDF]

Symmetry, 2020
In this paper, we characterize trivial Ricci solitons. We observe the important role of the energy function f of a Ricci soliton (half the squared length of the potential vector field) in the charectrization of trivial Ricci solitons. We find three characterizations of connected trivial Ricci solitons by imposing different restrictions on the energy ...
Sharief Deshmukh, Hana Alsodais
openaire   +1 more source

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

Generalized Ricci Solitons [PDF]

The Journal of Geometric Analysis, 2015
56 ...
Nurowski, Paweł~, Randall, Matthew
openaire   +3 more sources

Almost Ricci–Bourguignon Solitons on Doubly Warped Product Manifolds

Universe, 2023
This study aims at examining the effects of an almost Ricci–Bourguignon soliton structure on the base and fiber factor manifolds of a doubly warped product manifold.
Sameh Shenawy, Nasser Bin Turki, Noha Syied, Carlo Mantica   +3 more
doaj   +1 more source

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

On almost ∗-Ricci soliton

Gulf Journal of Mathematics, 2022
Abstract. In the present paper, we prove three fundamental results concerning almost ∗-Ricci soliton in the framework of para-Sasakian manifold. The paper is organised as follows:• If a para-Sasakian metric g represents an almost ∗-Ricci soliton with potential vector field V is Jacobi along Reeb vector field ξ, then g becomes a ∗-Ricci soliton.• If a ...
Kundu, Satyabrota, Halder, S., De, K.
openaire   +1 more source

Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry

Open Mathematics, 2022
We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Li Yanlin, Dey Santu, Pahan Sampa, Ali Akram   +3 more
doaj   +1 more source