M. Soret

activity

20072025

most citedNew minimal surfaces in S^3 desingularizing the Clifford tori

6 citations · 7 across the 13 of their papers we have counts for

collaborators

15 papers

math.DG2025

Minimal tori in $R^{4}$

Marc Soret, Marina Ville

We describe tools for the study of minimal surfaces in $R^{4}$ ; some are classical (the Gauss maps) and some are newer (the link/braid/writhe at infinity). Then we look for…

math.DG2024

Biharmonic Hypersurfaces in Euclidean Spaces

Hiba Bibi, Marc Soret, Marina Ville

An isometric immersion $X : Σ^{n} ⟶ E^{n + 1}$ is biharmonic if $Δ^{2} X = 0$ , i.e. if $Δ H = 0$ , where $Δ$ and $H$ are the metric Laplacian and the mean curvature ve…

math.GT2022

Random walks and the symplectic representation of the braid group

Marc Soret, Marina Ville

We consider the symplectic representation $ρ_{n}$ of a braid group $B (n)$ in $S p (2 l, Z)$ , for $l = [\frac{n - 1}{2}]$ . If $P$ is a polynomial on the $4 l^{2}$ coefficients…

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…

Minimal tori in R4

Biharmonic Hypersurfaces in Euclidean Spaces

Random walks and the symplectic representation of the braid group

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

Minimal tori in $R^{4}$

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