Results 51 to 60 of about 140 (130)
Kenmotsu metric as conformal $\eta$-Ricci soliton
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 ...
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Conformally Flat Pseudo-riemannian Homogeneous Ricci Solitons 4-spaces
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
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Open String Renormalization Group Flow as a Field Theory
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
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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
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ALMOST CONFORMAL RICCI SOLITONS ON LP-SASAKIAN MANIFOLDS
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
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Almost Kenmotsu metric as a conformal Ricci soliton [PDF]
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
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Uniqueness of Ricci flows from non‐atomic Radon measures on Riemann surfaces
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
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Golden Riemannian Manifolds Admitting Ricci–Bourguignon Solitons
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
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Constrained deformations of positive scalar curvature metrics, II
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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Gradient Ricci solitons admitting a closed conformal Vector field
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Diógenes, R. +2 more
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