M. Soret

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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.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…

Minimal tori in R4

Biharmonic Hypersurfaces in Euclidean Spaces

Minimal tori in $R^{4}$