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math.DG2022
On the stability of minimal submanifolds in conformal spheres
Giada Franz, Federico Trinca
Given an -dimensional Riemannian sphere conformal to the round one and -pinched, we show that it does not contain any closed stable minimal submanifold of dimension $2\le k\l…
math.DG2022
Contributions to the theory of free boundary minimal surfaces
Giada Franz
In this thesis, we present various contributions to the study of free boundary minimal surfaces. After introducing some basic tools and discussing some delicate aspects related to…
math.DG2022★ 1 cited
Estimating the Morse index of free boundary minimal hypersurfaces through covering arguments
Santiago Cordero-Misteli, Giada Franz
Given a compact Riemannian manifold, of dimension between 3 and 7, with boundary, we adapt Song's method in Song (2023) to the free boundary case to show that the Morse index of a…