Results 11 to 20 of about 875 (199)

Characterizations of Trivial Ricci Solitons [PDF]

open access: yesAdvances 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   +2 more
doaj   +4 more sources

η-Ricci soliton on η-Einstein-like LP-Sasakian manifolds [PDF]

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2022
The object of the present article is to study the notion of η-Einstein-like LP-Sasakian manifolds admitting η-Ricci soliton. Furthermore, we study the η-Ricci soliton on LP-Sasakian manifolds when the potential vector field V is point-wise collinear.
Das Susanta   +2 more
doaj   +2 more sources

f– Kenmotsu Metric as Conformal Ricci Soliton [PDF]

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2017
In this paper, we study conformal Ricci solitons in f- Kenmotsu manifolds. We derive conditions for f-Kenmotsu metric to be a conformal Ricci soliton.
Nagaraja H. G., Venu K.
doaj   +4 more sources

The Soliton-Ricci Flow with variable volume forms [PDF]

open access: yesComplex Manifolds, 2016
We introduce a flow of Riemannian metrics and positive volume forms over compact oriented manifolds whose formal limit is a shrinking Ricci soliton. The case of a fixed volume form has been considered in our previouswork.We still call this new flow, the ...
Pali Nefton
doaj   +3 more sources

D-Homothetically Deformed Kenmotsu Metric as a Ricci Soliton [PDF]

open access: yesAnnales Mathematicae Silesianae, 2019
In this paper we study the nature of Ricci solitons in D-homo-thetically deformed Kenmotsu manifolds. We prove that η -Einstein Kenmotsu metric as a Ricci soliton remains η -Einstein under D-homothetic deformation and the scalar curvature remains ...
Kumar D.L. Kiran, Nagaraja H.G., Venu K.
doaj   +6 more sources

A Note on Ricci Solitons [PDF]

open access: yesSymmetry, 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

Generalized Ricci Solitons [PDF]

open access: yesThe Journal of Geometric Analysis, 2015
56 ...
Nurowski, Paweł~, Randall, Matthew
openaire   +3 more sources

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

open access: yesFacta 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

$$*$$-Conformal $$\eta $$-Ricci soliton within the framework of Kenmotsu manifolds [PDF]

open access: yes, 2023
The goal of our present paper is to deliberate ∗-conformal η-Ricci soliton within the framework of Kenmotsu manifolds. Here we show that a Kenmotsu metric as a ∗-conformal η-Ricci soliton is Einstein metric if the soliton vector field is contact ...
Sarkar, Sumanjit   +3 more
core   +1 more source

On almost ∗-Ricci soliton

open access: yesGulf 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

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