Zobrazeno 1 - 10
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pro vyhledávání: '"Fogagnolo, A"'
This paper deals with the positive mass theorem and the existence of isoperimetric sets on $3$-manifolds endowed with continuous complete metrics having nonnegative scalar curvature in a suitable weak sense. We prove that if the manifold has an end t
Externí odkaz:
http://arxiv.org/abs/2403.15972
Autor:
Borghini, Stefano, Fogagnolo, Mattia
Substatic Riemannian manifolds with minimal boundary arise naturally in General Relativity as spatial slices of static spacetimes satisfying the Null Energy Condition. Moreover, they constitute a vast generalization of nonnegative Ricci curvature. In
Externí odkaz:
http://arxiv.org/abs/2307.14618
We provide a rigidity statement for the equality case for the Heintze-Karcher inequality in substatic manifolds. We apply such result in the warped product setting to fully remove assumption (H4) in the celebrated Brendle's characterization of consta
Externí odkaz:
http://arxiv.org/abs/2307.04253
Autor:
Benatti, Luca, Fogagnolo, Mattia
We review some recent results about the relations among isoperimetric sets, Penrose inequalities and related concepts in the analysis of $3$-manifolds of nonnegative scalar curvature. We also show that if the isoperimetric sets of big volume have con
Externí odkaz:
http://arxiv.org/abs/2305.03643
Publikováno v:
SIGMA 19 (2023), 091, 29 pages
We deal with suitable nonlinear versions of Jauregui's isocapacitary mass in 3-manifolds with nonnegative scalar curvature and compact outermost minimal boundary. These masses, which depend on a parameter $1
Externí odkaz:
http://arxiv.org/abs/2305.01453
We prove that the Riemannian Penrose Inequality holds for Asymptotically Flat $3$-manifolds with nonnegative scalar curvature and a connected horizon boundary, provided the optimal decay assumptions are met, which result in the $\mathrm{ADM}$ mass be
Externí odkaz:
http://arxiv.org/abs/2212.10215
We study the asymptotic behaviour of the $p$-capacitary potential and of the weak Inverse Mean Curvature Flow of a bounded set along the ends of an Asymptotically Conical Riemannian manifolds with asymptotically nonnegative Ricci curvature.
Externí odkaz:
http://arxiv.org/abs/2207.08607
Autor:
Micaletti, Vincenzo, Fogagnolo, Marta
Publikováno v:
Axon, Vol 8, Iss 1, Pp - (2024)
I.Milet VI, 3 nr. 1039 è un decreto onorario milesio per Eirenias figlio di Eirenias il Vecchio, un notabile della città di Mileto, attivo nella prima metà del II sec. a.C. Eirenias è noto per la sua attività diplomatica di raccordo tra Seleucid
Externí odkaz:
https://doaj.org/article/ab2b2ab6eb1a481e85d8871359ae934b
Autor:
Marta Fogagnolo
Publikováno v:
Historika : Studi di Storia Greca e Romana, Vol 13 (2024)
Il contributo si propone di analizzare una tipologia epigrafica abbastanza frequente nella Catania di epoca imperiale e cristiana, quella delle iscrizioni funerarie con formulario di acquisto delle tombe. Dopo avere discusso il vocabolario relativo a
Externí odkaz:
https://doaj.org/article/843bf8d1ec934ec388bc00b317c0fa8f
We study strictly positive solutions to the critical Laplace equation \[ - \Delta u = n(n-2) u^{\frac{n+2}{n-2}}, \] decaying at most like $d(o, x)^{-(n-2)/2}$, on complete noncompact manifolds $(M, g)$ with nonnegative Ricci curvature, of dimension
Externí odkaz:
http://arxiv.org/abs/2203.04678