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math.DG2023
Laplace eigenvalues and non-planar minimal spheres into 3-dimensional ellipsoids
Romain Petrides
We give a sufficient condition for branched minimal immersions of spheres into ellipsoids to be embedded: we show that if the coordinate functions of the branched minimal immersion…
math.DG2023
Non planar free boundary minimal disks into ellipsoids
Romain Petrides
We prove the existence of embedded non planar free boundary minimal disks into rotationally symmetric ellipsoids of . The construction relies on the optimization of c…