A. Magni

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20082017

most citedFlow by mean curvature inside a moving ambient space

10 citations · 13 across the 5 of their papers we have counts for

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math.DG2014

A Convergence Result for the Gradient Flow of $\int ∣ A ∣^{2}$ in Riemannian Manifolds

Annibale Magni

We study the gradient flow of the $L^{2} -$ norm of the second fundamental form of smooth immersions of two-dimensional surfaces into compact Riemannian manifolds. By analogy with the…

math.DG2009★ 10 cited

Flow by mean curvature inside a moving ambient space

Annibale Magni, Carlo Mantegazza, Efstratios Tsatis

We show some computations related to the motion by mean curvature flow of a submanifold inside an ambient Riemannian manifold evolving by Ricci or backward Ricci flow. Special emph…

math.DG2008★ 2 cited

On Perelman's Dilaton

Marco Caldarelli, Giovanni Catino, Zindine Djadli +2

By means of a Kaluza-Klein type argument we show that the Perelman's F-functional is the Einstein-Hilbert action in a space with extra ``phantom'' dimensions. In this way, we try t…

A Convergence Result for the Gradient Flow of ∫∣A∣2 in Riemannian Manifolds

Flow by mean curvature inside a moving ambient space

On Perelman's Dilaton

A Convergence Result for the Gradient Flow of $\int ∣ A ∣^{2}$ in Riemannian Manifolds