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Gravitating vortices with positive curvature

Web4. Existence of gravitating vortices in the weak coupling limit 12 5. Yang’s theorem and Geometric Invariant Theory 16 References 23 1. Introduction The Ka¨hler–Yang–Mills equations, introduced in [1, 11], emerge from a natural extension of the theories for constant scalar curvature Ka¨hler metrics and hermite–Yang–Mills con-nections. WebAug 27, 2024 · We introduce the notion of twisted gravitating vortices on a compact Riemann surface. If the genus of the Riemann surface is greater than 1 and the twisting …

Gravitating vortices with positive curvature ScienceGate

WebHere, F is the curvature of the Chern connection of h, ΛF is its contraction by the Ka¨hler ... GRAVITATING VORTICES AND THE EINSTEIN–BOGOMOL’NYI EQUATIONS 3 This can be compared with the classical result which establishes that a compact Riemann surface admits a metric of constant curvature with fixed volume, unique up to biholo- ... WebGravitating vortices with positive curvature Advances in Mathematics . 10.1016/j.aim.2024.107851 pence off https://ohiospyderryders.org

Gravitating vortices with positive curvature - arxiv-vanity.com

WebIn this paper we construct new solutions of the Kähler–Yang–Mills equations, by applying dimensional reduction methods to the product of the complex projective line with a … WebSep 2, 2024 · We study the self-gravitating Abrikosov vortex in curved space with and with-out a (negative) cosmological constant, considering both singular and non-singular solutions with an eye to hairy black holes. In the asymptotically flat case, we find that non-singular vortices round off the singularity of the point particle’s metric in 3 dimensions, … WebIn this talk I will overview recent joint work with Vamsi Pingali and Chengjian Yao in arXiv:1911.09616 about gravitating vortices. These equations couple ... medela how to

Gravitating vortices and the Einstein–Bogomol’nyi equations

Category:[1911.09616v2] Gravitating vortices with positive curvature

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Gravitating vortices with positive curvature

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WebNow on home page. ads; Enable full ADS WebDOI: 10.1016/J.AIM.2024.107851 Corpus ID: 208202495; Gravitating vortices with positive curvature @article{GarciaFernandez2024GravitatingVW, title={Gravitating ...

Gravitating vortices with positive curvature

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WebPROGRAM: VORTEX MODULIORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India)DATE & TIME: 06 February 2024 … WebSep 17, 2024 · In the case c > 0, which is most relevant for the present work, it implies that the Kähler metric of the gravitating vortices must have positive curvature. Proposition …

WebAbstract. We give a complete solution to the existence problem for gravitating vortices with non-negative topological constant c⩾0. Our first main result builds on previous r WebMar 1, 2024 · Here Δ g is Laplace-Beltrami operator induced by the metric g, K g is the Gaussian curvature of g, δ p j is the Dirac distribution on (S, ω) concentrated at p j, where ω is the area (volume) form of g, and τ, ε, a are positive real constants. With our convention, the Laplacian has negative eigenvalues.

WebVortices are non-singular field configurations in $2+1$ dimensions that have finite energy. ... These vortices have positive mass and are not BTZ black holes as they have no event horizon. ... At the origin, the spacetime has its highest curvature and there is no singularity. It transitions to an asymptotic conical spacetime with angular ... WebAug 5, 2024 · Heren is a positive integer called the winding number. So vortices are characterized by their values of v and n. ... k and k0 are the extrinsic curvature of Ct …

WebReferences. Label: [1] Publication info: Journal: Geom.Topol. Volume: 17; Year: 2013; First page: 2731; Last page: 2812; Authors: Álvarez-Cónsul, L. (author)

WebNov 21, 2024 · PDF We give a complete solution to the existence problem for gravitating vortices with positive topological constant $c > 0$. Our main result... Find, read and ... pence on hannity showWebgravitating vortex equations, given by i F+ 1 2 (j˚j2 ˝) = 0; S+ ( + ˝)(j˚j2 ˝) = c: (1.4) The unknowns of the gravitating vortex equations are a K ahler metric g on and a hermitian metric hon L. Here, Fis the curvature of the Chern connection of h, Fis its contraction by the K ahler form of g, j˚jis the pointwise norm of ˚with respect ... medela hands free pumpingWebNov 21, 2024 · Abstract: We give a complete solution to the existence problem for gravitating vortices with non-negative topological constant $c \geqslant 0$. Our first … medela heathertonWebNov 21, 2024 · Gravitating vortices with positive curvature. We give a complete solution to the existence problem for gravitating vortices with non-negative topological constant … pence op ed wsjWebGravitating vortices with positive curvature 10 0 0.0 ( 0 ) Download Cite. Added by Mario Garcia-Fernandez. Publication date 2024. fields. and research's language is English … medela ice pack and coolerWebNov 21, 2024 · Title:Gravitating vortices with positive curvature Authors:Mario Garcia-Fernandez, Vamsi Pritham Pingali, Chengjian Yao Download PDF Abstract:We give a complete solution to the existence problem for gravitating vortices with non-negative topological constant $c \geqslant 0$. Our first main result pence on gay marriageWebGravitating vortices with positive curvature, Mario Garcia-Fernandez (ICMAT) We give a complete solution to the existence problem for gravitating vortices on the Riemann sphere with positive topological constant c0, as introduced in arXiv:1510.03810. Our main result > pence ohio