M. Ville

activity

20072025

most citedMilnor numbers for 2-surfaces in 4-manifolds

3 citations · 6 across the 15 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.DG2021

Equivalences among parabolicity, comparison principle and capacity on complete Riemannian manifolds

A. Aiolfi, L. Bonorino, J. Ripoll +2

In this work we establish new equivalences for the concept of $p$ -parabolic Riemannian manifolds. We define a concept of comparison principle for elliptic PDE's on exterior domains…

math.DG2021

A Moser/Bernstein type theorem in a Lie group with a left invariant metric under a gradient decay condition

Ari Aiolfi, Leonardo Bonorino, Jaime Ripoll +2

We say that a PDE in a Riemannian manifold $M$ is geometric if,whenever $u$ is a solution of the PDE on a domain $Ω$ of $M$ , the composition $u_{ϕ} := u \circ ϕ$ is also solution on…

math.DG2021

On the Size of Minimal Surfaces in $R^{4}$

Ari Aiolfi, Marc Soret, Marina Ville

The Gauss map $g$ of a surface $Σ$ in $R^{4}$ takes its values in the Grassmannian of oriented 2-planes of $R^{4}$ : $G^{+} (2, 4)$ . We give geometric criteria of stabilit…

Equivalences among parabolicity, comparison principle and capacity on complete Riemannian manifolds

A Moser/Bernstein type theorem in a Lie group with a left invariant metric under a gradient decay condition

On the Size of Minimal Surfaces in R4

On the Size of Minimal Surfaces in $R^{4}$