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math.DG2019
Inequivalent complexity criteria for free boundary minimal surfaces
Alessandro Carlotto, Giada Franz
We obtain a series of results in the global theory of free boundary minimal surfaces, which in particular provide a rather complete picture for the way different complexity criteri…
math.DG2019
Contractibility results for certain spaces of Riemannian metrics on the disc
Alessandro Carlotto, Damin Wu
We provide a general contractibility criterion for subsets of Riemannian metrics on the disc. For instance, this result applies to the space of metrics that have positive Gauss cur…
math.DG2019
Constrained deformations of positive scalar curvature metrics
Alessandro Carlotto, Chao Li
We present a series of results concerning the interplay between the scalar curvature of a manifold and the mean curvature of its boundary. In particular, we give a complete topolog…