Search Results - "Borghini, Stefano"

On the Mass of Static Metrics with Positive Cosmological Constant: II by Borghini, Stefano, Mazzieri, Lorenzo

“…This is the second of two works, in which we discuss the definition of an appropriate notion of mass for static metrics, in the case where the cosmological…”
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Symmetry results for Serrin-type problems in doubly connected domains by Borghini, Stefano

“…In this work, we employ the technique developed in [<xref ref-type="bibr" rid="b2">2 ] to prove rotational symmetry for a class of Serrin-type problems for the…”
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A gluing formula for Reidemeister–Turaev torsion by Borghini, Stefano

“…We extend Turaev’s theory of Euler structures and torsion invariants on a 3-manifold M to the case of vector fields having generic behavior on ∂ M . This…”
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Static Black Hole Uniqueness for nonpositive masses by Borghini, Stefano

“…In a renowned paper, Lee and Neves proved a Penrose inequality for spacetimes with negative cosmological constant and nonpositive mass aspect. As an…”
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On the Mass of Static Metrics with Positive Cosmological Constant: II by Borghini, Stefano, Mazzieri, Lorenzo

“…This is the second of two works, in which we discuss the definition of an appropriate notion of mass for static metrics, in the case where the cosmological…”
Get full text

Counterexamples to a divergence lower bound for the covariant derivative of skew-symmetric 2-tensor fields by Borghini, Stefano, Mazzieri, Lorenzo

“…In Hwang and Yun (Ann Glob Anal Geom 62(3):507–532, 2022), an estimate for skew-symmetric 2-tensors was claimed. Soon after, this estimate has been exploited…”
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The Equality Case in the Substatic Heintze–Karcher Inequality by Borghini, Stefano, Fogagnolo, Mattia, Pinamonti, Andrea

“…We provide a rigidity statement for the equality case of the Heintze–Karcher inequality in substatic manifolds. We apply such a result in the warped product…”
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On the Serrin problem for ring-shaped domains by Agostiniani, Virginia, Borghini, Stefano, Mazzieri, Lorenzo

“…In this paper, we deal with the open problem of characterising rotationally symmetric solutions to \Delta u = - 2 , when Dirichlet boundary conditions are…”
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On the Uniqueness of Schwarzschild–de Sitter Spacetime by Borghini, Stefano, Chruściel, Piotr T., Mazzieri, Lorenzo

“…We establish a new uniqueness theorem for the three dimensional Schwarzschild–de Sitter metrics. For this, some new or improved tools are developed. These…”
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Symmetry results for Serrin-type problems in doubly connected domains by Borghini, Stefano

“…Math. Eng. 5 (2023), no. 2 In this work, we employ the technique developed in arXiv:2109.11255 to prove rotational symmetry for a class of Serrin-type problems…”
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Static Black Hole Uniqueness for nonpositive masses by Borghini, Stefano

“…Nonlinear Analysis 220 (2022) 112843 In arXiv:1310.3002, Lee and Neves proved a Penrose inequality for spacetimes with negative cosmological constant and…”
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Comparison geometry for substatic manifolds and a weighted Isoperimetric Inequality by 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…”
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Counterexamples to a divergence lower bound for the covariant derivative of skew-symmetric 2-tensor fields by Borghini, Stefano, Mazzieri, Lorenzo

“…Ann Glob Anal Geom 63, 18 (2023) In arXiv:2103.15482 an estimate for suitable skew-symmetric 2-tensors was claimed. Soon after, this estimate has been…”
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Black Hole and Equipotential Photon Surface Uniqueness in 4-dimensional Asymptotically Flat Electrostatic Electro-Vacuum Spacetimes by Borghini, Stefano, Cederbaum, Carla, Cogo, Albachiara

“…We study 4-dimensional asymptotically flat electrostatic electro-vacuum spacetimes with a connected black hole, photon sphere, or equipotential photon surface…”
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The equality case in the substatic Heintze-Karcher inequality by Borghini, Stefano, Fogagnolo, Mattia, Pinamonti, Andrea

“…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…”
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On the mass of static metrics with positive cosmological constant -- II by Borghini, Stefano, Mazzieri, Lorenzo

“…Commun. Math. Phys. 377 (2020) 2079-2158 This is the second of two works, in which we discuss the definition of an appropriate notion of mass for static…”
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On the Serrin problem for ring-shaped domains by Agostiniani, Virginia, Borghini, Stefano, Mazzieri, Lorenzo

“…In this paper, we deal with the long standing open problem of characterising rotationally symmetric solutions to $\Delta u = -2$, when Dirichlet boundary…”
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On the mass of static metrics with positive cosmological constant - I by Borghini, Stefano, Mazzieri, Lorenzo

“…Class. Quantum Grav. 35 (2018) 125001 In this paper we propose and discuss a notion of mass for compact static metrics with positive cosmological constant. As…”
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La restituzione virtuale dell’architettura antica come strumento di ricerca e comunicazione dei beni culturali: ricerca estetica e gestione delle fonti by Stefano Borghini, Raffaele Carlani

“…Raffaello Sanzio intuì per primo che il mondo antico, come lo vedevano i suoi occhi, non era che l’eco sbiadita di quella ricchezza che pur doveva…”
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A gluing formula for Reidemeister-Turaev torsion by Borghini, Stefano

“…Annali di Matematica Pura ed Applicata (1923-), 194(5), 1535-1561 We extend Turaev's theory of Euler structures and torsion invariants on 3-manifolds to the…”
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