Results 71 to 80 of about 240 (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 +3 more
wiley +1 more source
Conformal Ricci solitons of Lagrangian submanifolds in K\"{a}hler manifolds
Proceedings of the Institute of Mathematics and Mechanics,National Academy of Sciences of Azerbaijan, 2020 Summary: The object of the paper is to study a compact Lagrangian submanifold \(M\) in Kähler manifolds, such that the induced metric on the Lagrangian submanifolds is a conformal Ricci soliton with respect to potential vector field given by mean curvature vector field.
openaire +2 more sources
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
Open String Renormalization Group Flow as a Field Theory
Fortschritte der Physik, Volume 72, Issue 11, November 2024.Abstract This article shows that the integral flow‐lines of the RG‐flow of open string theory can be interpreted as the solitons of a Hořova–Lifshitz sigma‐model of open membranes. The authors argue that the effective background description of this model implies the g‐theorem of open string theory.
Julius Hristov
wiley +1 more source
Clairaut conformal submersions from Ricci solitons
, 2023 In the present article, we characterize Clairaut conformal submersions whose total manifolds admit a Ricci soliton and provide a non-trivial example of such Clairaut conformal submersions. We firstly calculate scalar curvature and Ricci tensors of total manifolds of Clairaut conformal submersions and provide necessary conditions for the fibres of such ...
openaire +2 more sources
Uniqueness of Ricci flows from non‐atomic Radon measures on Riemann surfaces
Proceedings of the London Mathematical Society, Volume 128, Issue 6, June 2024.Abstract In previous work (Topping and Yin, https://arxiv.org/abs/2107.14686), we established the existence of a Ricci flow starting with a Riemann surface coupled with a non‐atomic Radon measure as a conformal factor. In this paper, we prove uniqueness, settling Conjecture 1.3 of Topping and Yin (https://arxiv.org/abs/2107.14686).
Peter M. Topping, Hao Yin
wiley +1 more source
Impact of Solitonic Structures on Kählerian Norden Space-Times
AxiomsThis manuscript investigates conformal η-Ricci–Yamabe solitons of type (κ,l) on Kählerian Norden space-time admitting a Kählerian Norden torse-forming vector field.
Sahar H. Nazra +3 more
doaj +1 more source
Constrained deformations of positive scalar curvature metrics, II
Communications on Pure and Applied Mathematics, Volume 77, Issue 1, Page 795-862, January 2024.Abstract We prove that various spaces of constrained positive scalar curvature metrics on compact three‐manifolds with boundary, when not empty, are contractible. The constraints we mostly focus on are given in terms of local conditions on the mean curvature of the boundary, and our treatment includes both the mean‐convex and the minimal case.
Alessandro Carlotto, Chao Li
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, 2023 Ricci solitons with concircular and conformal killing potential vector fields in complexSasakian manifolds are investigated. In addition, it is shown that a Ricci soliton in complexSasakian manifolds satisfying the conditions ρ(U, X)R = 0 and ρ(V, X)R ...
Vanlı, Aysel
core
From infinitesimal harmonic transformations to Ricci solitons [PDF]
, 2013 summary:The concept of the Ricci soliton was introduced by R. S. Hamilton. The Ricci soliton is defined by a vector field and it is a natural generalization of the Einstein metric.
Mikeš, Josef +2 more
core +1 more source