Results 51 to 60 of about 140 (130)

Kenmotsu metric as conformal $\eta$-Ricci soliton

open access: yes, 2021
The object of the present paper is to characterize the class of Kenmotsu manifolds which admits conformal $\eta$-Ricci soliton. Here, we have investigated the nature of the conformal $\eta$-Ricci soliton within the framework of Kenmotsu manifolds. It is shown that an $\eta$-Einstein Kenmotsu manifold admitting conformal $\eta$-Ricci soliton is an ...
openaire   +2 more sources

Conformally Flat Pseudo-riemannian Homogeneous Ricci Solitons 4-spaces

open access: yesIndian Journal of Science and Technology, 2015
We consider four dimensional conformally flat homogeneous pseudo Riemannian manifolds. According to forms (Seger types) of the Ricci operator, we provide a full classification of four dimensional pseudo Riemannian conformally flat homogeneous Ricci solitons.
Chaichi, Mohamad, Keshavarzi, Yadollah
openaire   +2 more sources

Open String Renormalization Group Flow as a Field Theory

open access: yesFortschritte 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

Exploring Conformal Soliton Structures in Tangent Bundles with Ricci-Quarter Symmetric Metric Connections

open access: yesMathematics
In this study, we investigate the tangent bundle TM of an n-dimensional (pseudo-)Riemannian manifold M equipped with a Ricci-quarter symmetric metric connection ∇˜.
Yanlin Li, Aydin Gezer, Erkan Karakas
doaj   +1 more source

ALMOST CONFORMAL RICCI SOLITONS ON LP-SASAKIAN MANIFOLDS

open access: yesFacta Universitatis, Series: Mathematics and Informatics
The object of the present paper is to classify almost conformal Ricci solitons on Lorentzian para-Sasakian manifolds. In this paper, we prove that such manifolds with infinitesimal contact vector field V is η-Einstein and the scalar curvature of the manifold is constant, where V is potential vector field.
Pradip Majhi, Debabrata Kar
openaire   +2 more sources

Almost Kenmotsu metric as a conformal Ricci soliton [PDF]

open access: yesConformal Geometry and Dynamics of the American Mathematical Society, 2019
In the present paper, we characterize ( k , μ ) ′ (k,\mu )’ and generalized ( k , μ ) ′ (k,\mu )’ -almost Kenmotsu manifolds admitting the conformal Ricci soliton. It is also shown that a
Dey, Dibakar, Majhi, Pradip
openaire   +1 more source

Uniqueness of Ricci flows from non‐atomic Radon measures on Riemann surfaces

open access: yesProceedings 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

Golden Riemannian Manifolds Admitting Ricci–Bourguignon Solitons

open access: yesMathematics
In this paper, we examine Ricci–Bourguignon solitons on locally decomposable golden Riemannian manifolds of constant golden sectional curvature. First, we establish an explicit expression for the soliton constant in terms of the golden structure and the ...
Bang-Yen Chen   +3 more
doaj   +1 more source

Constrained deformations of positive scalar curvature metrics, II

open access: yesCommunications 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
wiley   +1 more source

Gradient Ricci solitons admitting a closed conformal Vector field

open access: yesJournal of Mathematical Analysis and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Diógenes, R.   +2 more
openaire   +2 more sources

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