works on
catenoid 1classification 1finite total curvature 1minimal hypersurfaces 1morse index 1

From the 1 of 4 linked papers with an AI index.

collaborators
Showing math.DGShow all

4 papers · 1 filter

math.DG2026

No compromise in the liquid drop model

Otis Chodosh, Matilde Gianocca

We characterize minimizers in Gamow's liquid drop problem.

math.DG2026

Minimal hypersurfaces of Morse index one

Otis Chodosh, Matilde Gianocca

The paper proves that any complete, connected, embedded minimal hypersurface in Euclidean space with finite total curvature and Morse index one is necessarily the higher-dimensiona…

math.DG2025

Note on energy index and first eigenvalue of minimal surfaces in spheres

Matilde Gianocca

A minimal immersion from a surface to can be viewed both as a critical point of the area and of the energy. Although no difference appears at first order, looking at the resp…

math.DG2025

Rigidity in the Ginzburg--Landau approximation of harmonic spheres

Matilde Gianocca

We prove that not every harmonic map from to can arise as a limit of Ginzburg--Landau critical points. More precisely, we show that the only degree-one harmonic map…