Search Results - "Catino, Giovanni"

On conformally flat manifolds with constant positive scalar curvature by Catino, Giovanni

“…with a rotationally symmetric Derdzinski metric.]]>…”
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Critical metrics of the L^{2}-norm of the scalar curvature by Catino, Giovanni

“…-norm of the scalar curvature. We prove that any complete critical metric with positive scalar curvature has constant scalar curvature, and we characterize…”
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Two Rigidity Results for Stable Minimal Hypersurfaces by Catino, Giovanni, Mastrolia, Paolo, Roncoroni, Alberto

“…The aim of this paper is to prove two results concerning the rigidity of complete, immersed, orientable, stable minimal hypersurfaces: we show that they are…”
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Semilinear Li and Yau inequalities by Castorina, Daniele, Catino, Giovanni, Mantegazza, Carlo

“…We derive an adaptation of Li and Yau estimates for positive solutions of semilinear heat equations on Riemannian manifolds with nonnegative Ricci tensor. We…”
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A conformal Yamabe problem with potential on the Euclidean space by Catino, Giovanni, Gazzola, Filippo, Mastrolia, Paolo

“…We consider, in the Euclidean setting, a conformal Yamabe-type equation related to a potential generalization of the classical constant scalar curvature…”
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A matrix Harnack inequality for semilinear heat equations by Ascione, Giacomo, Castorina, Daniele, Catino, Giovanni, Mantegazza, Carlo

“…We derive a matrix version of Li & Yau–type estimates for positive solutions of semilinear heat equations on Riemannian manifolds with nonnegative sectional…”
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A triviality result for semilinear parabolic equations by Castorina, Daniele, Catino, Giovanni, Mantegazza, Carlo

“…We show a triviality result for "pointwise" monotone in time, bounded "eternal" solutions of the semilinear heat equation $ \begin{equation*} u_{t} = \Delta u…”
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Integral pinched shrinking Ricci solitons by Catino, Giovanni

“…We prove that a n-dimensional, 4≤n≤6, compact gradient shrinking Ricci soliton satisfying a Ln/2-pinching condition is isometric to a quotient of the round Sn…”
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Generalized quasi-Einstein manifolds with harmonic Weyl tensor by Catino, Giovanni

“…In this paper we introduce the notion of generalized quasi-Einstein manifold that generalizes the concepts of Ricci soliton, Ricci almost soliton and…”
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Some rigidity results on critical metrics for quadratic functionals by Catino, Giovanni

“…In this paper we prove rigidity results on critical metrics for quadratic curvature functionals, involving the Ricci and the scalar curvature, on the space of…”
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Complete gradient shrinking Ricci solitons with pinched curvature by Catino, Giovanni

“…We prove that any n -dimensional complete gradient shrinking Ricci soliton with pinched Weyl curvature is a finite quotient of or . In particular, we do not…”
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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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Semilinear elliptic equations on manifolds with nonnegative Ricci curvature by Catino, Giovanni, Monticelli, Dario Daniele

“…In this paper, we prove classification results for solutions to subcritical and critical semilinear elliptic equations with a nonnegative potential on…”
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Bochner-type Formulas for the Weyl Tensor on Four-dimensional Einstein Manifolds by Catino, Giovanni, Mastrolia, Paolo

“…Abstract The very definition of an Einstein metric implies that all its geometry is encoded in the Weyl tensor. With this in mind, in this paper we derive…”
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On the critical p-Laplace equation by Catino, Giovanni, Monticelli, Dario D., Roncoroni, Alberto

“…In this paper we provide the classification of positive solutions to the critical p-Laplace equation on Rn, for 1<p<n, possibly having infinite energy. If n=2,…”
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Some canonical metrics via Aubin's local deformations by Catino, Giovanni, Dameno, Davide, Mastrolia, Paolo

“…English: In this paper, using special metric deformations introduced by Aubin, we construct Riemannian metrics satisfying non-vanishing conditions concerning…”
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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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On Riemannian 4‐manifolds and their twistor spaces: A moving frame approach by Catino, Giovanni, Dameno, Davide, Mastrolia, Paolo

“…Abstract In this paper, we study the twistor space of an oriented Riemannian 4‐manifold using the moving frame approach, focusing, in particular, on the…”
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A remark on compact hypersurfaces with constant mean curvature in space forms by Catino, Giovanni

“…In this note we characterize compact hypersurfaces of dimension n≥2 with constant mean curvature H immersed in space forms of constant curvature and satisfying…”
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Rigidity of critical metrics for quadratic curvature functionals by Catino, Giovanni, Mastrolia, Paolo, Monticelli, Dario D.

“…In this paper we prove new rigidity results for complete, possibly non-compact, critical metrics of the quadratic curvature functionals…”
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