Results 71 to 80 of about 222 (146)

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

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

Symmetry and pseudosymmetry properties with Ricci soliton of the Reissner-Nordström-de Sitter spacetime

Nuclear Physics B
The primary objective of the article is to investigate the symmetry and pseudosymmetry properties of the Reissner-Nordström-de Sitter (briefly, RNdS) spacetime. The secondary aim of the paper is to explore the notion of Ricci solitons in RNdS spacetimes.
Absos Ali Shaikh, Kamiruzzaman
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
wiley   +1 more source

On h-almost conformal η-Ricci-Bourguignon soliton in a perfect fluid spacetime

The primary object of the paper is to study h-almost conformal η-Ricci-Bourguignon soliton in an almost pseudo-symmetric Lorentzian Kähler spacetime manifold when some different curvature tensors vanish identically.
Pahan, Sampa
core   +2 more sources

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, Tsyganok, Irina I., Stepanov, Sergey E.   +2 more
core   +1 more source

Ricci Solitons with Concircular and Conformal Killing Potential Vector Fields in Complex Sasakian Manifolds

, 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  

Pair of Associated η-Ricci–Bourguignon Almost Solitons with Generalized Conformal Killing Potential on Sasaki-like Almost Contact Complex Riemannian Manifolds

Mathematics
The subject of this study is almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds. The considerations are restricted to a special class of these manifolds, namely those of the Sasaki-like type, because of their ...
Mancho Manev
doaj   +1 more source