Search Results - "Mazzieri, Lorenzo"

Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature by Agostiniani, Virginia, Fogagnolo, Mattia, Mazzieri, Lorenzo

“…In this paper we consider complete noncompact Riemannian manifolds ( M ,  g ) with nonnegative Ricci curvature and Euclidean volume growth, of dimension n ≥ 3…”
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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…”
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Monotonicity formulas in potential theory by Agostiniani, Virginia, Mazzieri, Lorenzo

“…Using the electrostatic potential u due to a uniformly charged body Ω ⊂ R n , n ≥ 3 , we introduce a family of monotone quantities associated with the level…”
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Minkowski Inequalities via Nonlinear Potential Theory by Agostiniani, Virginia, Fogagnolo, Mattia, Mazzieri, Lorenzo

“…In this paper, we prove an extended version of the Minkowski Inequality, holding for any smooth bounded set Ω ⊂ R n , n ≥ 3 . Our proof relies on the discovery…”
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A Green’s Function Proof of the Positive Mass Theorem by Agostiniani, Virginia, Mazzieri, Lorenzo, Oronzio, Francesca

“…In this paper, a new proof of the Positive Mass Theorem is established through a newly discovered monotonicity formula, holding along the level sets of the…”
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A Note on the Critical Laplace Equation and Ricci Curvature by Fogagnolo, Mattia, Malchiodi, Andrea, Mazzieri, Lorenzo

“…We study strictly positive solutions to the critical Laplace equation - Δ u = n ( n - 2 ) u n + 2 n - 2 , decaying at most like d ( o , x ) - ( n - 2 ) / 2 ,…”
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Correction: A Note on the Critical Laplace Equation and Ricci Curvature by Fogagnolo, Mattia, Malchiodi, Andrea, Mazzieri, Lorenzo

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The asymptotic behaviour of p-capacitary potentials in asymptotically conical manifolds by Benatti, Luca, Fogagnolo, Mattia, Mazzieri, Lorenzo

“…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…”
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A geometric capacitary inequality for sub-static manifolds with harmonic potentials by Agostiniani, Virginia, Mazzieri, Lorenzo, Oronzio, Francesca

“…In this paper, we prove that associated with a sub-static asymptotically flat manifold endowed with a harmonic potential there is a one-parameter family $…”
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On the Geometry of the Level Sets of Bounded Static Potentials by Agostiniani, Virginia, Mazzieri, Lorenzo

“…In this paper we present a new approach to the study of asymptotically flat static metrics arising in general relativity. In the case where the static…”
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Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds by Fogagnolo, Mattia, Mazzieri, Lorenzo

“…The notion of strictly outward minimising hull is investigated for open sets of finite perimeter sitting inside a complete noncompact Riemannian manifold…”
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Gradient Einstein solitons by Catino, Giovanni, Mazzieri, Lorenzo

“…In this paper we consider a perturbation of the Ricci solitons equation proposed by J. P. Bourguignon. We show that these structures are more rigid than…”
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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…”
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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

“…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 Ricci–Bourguignon flow by Catino, Giovanni, Cremaschi, Laura, Djadli, Zindine, Mantegazza, Carlo, Mazzieri, Lorenzo

“…We present some results on a family of geometric flows introduced by J. P. Bourguignon in 1981 that generalize the Ricci flow. For suitable values of the…”
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Riemannian aspects of potential theory by Agostiniani, Virginia, Mazzieri, Lorenzo

“…In this paper we provide a new method for establishing the rotational symmetry of the solutions to a couple of very classical overdetermined problems arising…”
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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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Nonlinear Isocapacitary Concepts of Mass in 3-Manifolds with Nonnegative Scalar Curvature by Benatti, Luca, Fogagnolo, Mattia, Mazzieri, Lorenzo

“…We deal with suitable nonlinear versions of Jauregui's isocapacitary mass in 3-manifolds with nonnegative scalar curvature and compact outermost minimal…”
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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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A new proof of the Riemannian Penrose inequality by Agostiniani, Virginia, Mantegazza, Carlo, Mazzieri, Lorenzo, Oronzio, Francesca

“…We give an overview of our recent new proof of the Riemannian Penrose inequality in the case of a single black hole. The proof is based on a new monotonicity…”
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