M. Ville

collaborators

4 papers

math.DG2025

Sequences of surfaces in $4$ -manifolds

Marina Ville

Let $(I^£_{n})$ be a sequence of surfaces immersed in a $4$ -manifold $M$ which converges to a branched surface $I^£_{0}$ .\\ We denote by $k_{p}^{T}$ (resp. $k_{p}^{N}$ ) the amount of curvature…

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.GT2025

Random walks and the symplectic representation of the braid group

Marc Soret, Marina Ville

We consider the symplectic representation $I ¨ _{n}$ 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.DG2025

Biharmonic Hypersurfaces in Euclidean Spaces

Hiba Bibi, Marc Soret, Marina Ville

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

Sequences of surfaces in 4-manifolds

Minimal tori in R4

Random walks and the symplectic representation of the braid group

Biharmonic Hypersurfaces in Euclidean Spaces

Sequences of surfaces in $4$ -manifolds

Minimal tori in $R^{4}$