Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Borthwick, Jack"'
Autor:
Borthwick, Jack, Herfray, Yannick
In this article we discuss how to construct canonical \emph{strong} Carrollian geometries at time/space like infinity of projectively compact Ricci flat Einstein manifolds $(M,g)$ and discuss the links between the underlying projective structure of t
Externí odkaz:
http://arxiv.org/abs/2406.01800
Autor:
Borthwick, Jack, Herfray, Yannick
Publikováno v:
Phil. Trans. R. Soc. A. 382: 20230042 (2024)
We show that the boundary of a projectively compact Einstein manifold of dimension $n$ can be extended by a line bundle naturally constructed from the projective compactification. This extended boundary is such that its automorphisms can be identifie
Externí odkaz:
http://arxiv.org/abs/2309.09962
Autor:
Borthwick, Jack, Kamran, Niky
Publikováno v:
J Geom Anal 34, 289 (2024)
We investigate the property of boundary rigidity for the projective structures associated to torsion-free affine connections on connected analytic manifolds with boundary. We show that these structures are generically boundary rigid, meaning that any
Externí odkaz:
http://arxiv.org/abs/2305.02266
The starting point of this work was an intriguing similarity between the behaviour of fields near a degenerate horizon and near the infinity of an asymptotically flat spacetime, as revealed by the scattering theory for Dirac fields in the ``exterior'
Externí odkaz:
http://arxiv.org/abs/2303.14574
In this paper we are concerned with the existence of normalized solutions for nonlinear Schr\"odinger equations on noncompact metric graphs with localized nonlinearities. In a $L^2$-supercritical regime, we obtain the existence of solutions for any p
Externí odkaz:
http://arxiv.org/abs/2212.04840
In this paper, we study, for functionals having a mountain pass geometry on a constraint, the existence of bounded Palais-Smale sequences carrying Morse index type information.
Comment: This version is the final one, corresponding to the paper n
Comment: This version is the final one, corresponding to the paper n
Externí odkaz:
http://arxiv.org/abs/2210.12626
In this paper, we study a new type of inverse problem on warped product Riemannian manifolds with connected boundary that we name warped balls. Using the symmetry of the geometry, we first define the set of Regge poles as the poles of the meromorphic
Externí odkaz:
http://arxiv.org/abs/2203.13850
Autor:
Borthwick, Jack
In this text, we explore the tools that Projective Differential Geometry can provide for the asymptotic analysis of classical fields on projectively compact manifolds. We emphasise on the case of order 2-compactifications and develop, in this case, a
Externí odkaz:
http://arxiv.org/abs/2109.05834
Autor:
Borthwick, Jack
Publikováno v:
Annales de l'Institut Fourier, Tome 73 (2023) no. 3, pp. 919-997
In this paper, we construct a scattering theory for classical massive Dirac fields near the "double" horizon of an extreme Kerr-de Sitter blackhole. Our main tool is the existence of a conjugate operator in the sense of Mourre theory. Additionally, d
Externí odkaz:
http://arxiv.org/abs/2005.01036
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