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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…