Zobrazeno 1 - 10
of 1 965
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:
Paolo Fogagnolo, Pasquale Aragona, Alfonso Strianese, Edoardo Villani, Giuseppe Giannaccare, Vincenzo Orfeo, Valentina Mirisola, Rita Mencucci, the Italian Dry Eye Study Group
Publikováno v:
Ophthalmology and Therapy, Vol 13, Iss 11, Pp 2999-3011 (2024)
Abstract Introduction High-tech devices for the assessment of dry eye disease (DED) are increasingly available. However, the agreement between high- and low-tech parameters has been poorly explored to date. Trying to fill these gaps, we conducted a p
Externí odkaz:
https://doaj.org/article/53bf26e84d814a4e8a8e3d3a438f5217
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
Autor:
Fabio Silvio Taccone, Federico Franchi, Danila Azzolina, Savino Spadaro, Carlo Alberto Volta, Giorgia Valpiani, Alberto Fogagnolo, Emma Pedarzani, Gianluca Pasa, Daniele Marianello, Chiara Marchesini, Filippo Annoni, Anthony Moureau
Publikováno v:
BMJ Open, Vol 14, Iss 11 (2024)
Introduction In critically ill patients, individualised strategies for red blood cell transfusion (RBCT) are lacking. The objective of this study is to demonstrate the potential advantages of employing an individualised transfusion strategy compared
Externí odkaz:
https://doaj.org/article/faf3f3960fcb432fbff789ea396a3987
Autor:
Fogagnolo, Paolo1 (AUTHOR) paolo.fogagnolo@unimi.it, Aragona, Pasquale2 (AUTHOR), Strianese, Alfonso3 (AUTHOR), Villani, Edoardo4,5 (AUTHOR), Giannaccare, Giuseppe6 (AUTHOR), Orfeo, Vincenzo7 (AUTHOR), Mirisola, Valentina8 (AUTHOR), Mencucci, Rita9 (AUTHOR), De Ruvo, Valentino (AUTHOR), Sonego, Silvia (AUTHOR), Quisisana, Chiara (AUTHOR), Rossetti, Luca Mario (AUTHOR), Postorino, Elisa Imelde (AUTHOR), Azzaro, Claudia (AUTHOR)
Publikováno v:
Ophthalmology & Therapy. Nov2024, Vol. 13 Issue 11, p2999-3011. 13p.
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