Results 91 to 100 of about 807,926 (146)

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

Journal of Mathematics, Volume 2025, Issue 1, 2025.
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. We also present conditions under which the Ricci soliton (Mn, g, ξ, λ) is isometric to Rn.
Vahid Pirhadi, Ghodratallah Fasihi-Ramandi, Shahroud Azami, Pramita Mishra   +3 more
wiley   +1 more source

k-Almost Newton-Conformal Ricci Solitons on Hypersurfaces Within Golden Riemannian Manifolds with Constant Golden Sectional Curvature

Axioms
The current work establishes the geometrical bearing for hypersurfaces in a Golden Riemannian manifold with constant golden sectional curvature with respect to k-almost Newton-conformal Ricci solitons.
Amit Kumar Rai, Majid Ali Choudhary, Mohd. Danish Siddiqi, Ghodratallah Fasihi-Ramandi, Uday Chand De, Ion Mihai   +5 more
doaj   +1 more source

A Study on Contact Metric Manifolds Admitting a Type of Solitons

Journal of Mathematics
The principal aim of the present article is to characterize certain properties of η-Ricci–Bourguignon solitons on three types of contact manifolds, that are K-contact manifolds, κ,μ-contact metric manifolds, and Nκ-contact metric manifolds.
Tarak Mandal, Uday Chand De, Meraj Ali Khan, Mohammad Nazrul Islam Khan   +3 more
doaj   +1 more source

A Solitonic Approach of General Relativistic Spacetimes with Applications

Axioms
In this article, some remarkable results on general relativistic spacetimes with non-constant scalar curvature τ, admitting almost Ricci-Bourguignon solitons and gradient almost Ricci-Bourguignon solitons, have been established.
Abdul Haseeb, Sudhakar Kumar Chaubey, Mohammad Nazrul Islam Khan   +2 more
doaj   +1 more source

Gradient Ricci Bourguignon solitons on perfect fluid space-times [PDF]

Journal of Mahani Mathematical Research
The main purpose of the present paper is about characterizing the properties of the perfect fluid space-time that admits the gradient Ricci-Bourguignon soliton. This gives some results about the stability of the energy-momentum tensor and also under some
Sakineh Hajiaghasi, Shahroud Azami
doaj   +1 more source

Geometry of Ricci–Bourguignon Solitons on Mixed Doubly Sequential Warped Products: Existence, Classification, and Cosmological Implications

Axioms
We investigate Ricci–Bourguignon solitons on mixed doubly sequential warped product manifolds. Necessary and sufficient conditions for the existence of such solitons are established, and their implications for Einstein manifolds are analyzed.
Ayman Elsharkawy, Anis Ben Ghorbal, Majdah Mohammed Badr, Uday Chand De   +3 more
doaj   +1 more source

Steady gradient Ricci solitons with nonnegative curvature away from a compact set

Annales de la faculté des sciences de Toulouse Mathématiques
We analyse the blow-down solutions for n -dimensional ...
Zi-Qi Zhao, Xiao-Hua Zhu
semanticscholar   +1 more source

Ricci solitons in Kenmotsu manifolds.

, 2012
In this paper we study Ricci solitons in Kenmotsu manifolds. We consider quasi conformal, conharmonic and projective curvature tensors in a Kenmotsu manifold admitting Ricci solitons and prove the conditions for the Ricci solitons to be shrinking, steady
Premalatha, C.R., Nagaraja, H.G.
core  

Riemann Solitons and Ricci Bi-Conformal Vector Fields on 4-Dimensional Oscillator Group

Mathematics
We consider Riemann soliton vector fields and Ricci bi-conformal vector fields on the oscillator group. We prove that the oscillator group admits Riemann solitons. Subsequently, we provide a complete classification of all Ricci bi-conformal vector fields
Bang-Yen Chen, Foued Aloui, Majid Ali Choudhary, Mohammad Nazrul Islam Khan   +3 more
doaj   +1 more source

Estimates on the non-compact expanding gradient Ricci solitons

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
In this paper, we deal with the complete non-compact expanding gradient Ricci soliton (Mn,g) with positive Ricci curvature. On the condition that the Ricci curvature is positive and the scalar curvature approaches 0 towards infinity, we derive a useful ...
Gao Xiang, Xing Qiaofang, Cao Rongrong
doaj   +1 more source