10 citations · 13 across the 5 of their papers we have counts for
6 papers
Some remarks on Huisken's monotonicity formula for mean curvature flow
Carlo Mantegazza, Annibale Magni
We discuss a monotone quantity related to Huisken's monotonicity formula and some technical consequences for mean curvature flow.
A note on non lower semicontinuous perimeter functionals on partitions
Annibale Magni, Matteo Novaga
We consider isotropic non lower semicontinuous weighted perimeter functionals defined on partitions of domains in . Besides identifying a condition on the structure o…
A Convergence Result for the Gradient Flow of in Riemannian Manifolds
Annibale Magni
We study the gradient flow of the norm of the second fundamental form of smooth immersions of two-dimensional surfaces into compact Riemannian manifolds. By analogy with the…
Variational analysis of a mean curvature flow action functional
Annibale Magni, Matthias Röger
We consider the reduced Allen-Cahn action functional, which appears as the sharp interface limit of the Allen-Cahn action functional and can be understood as a formal action functi…
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…
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…