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math.DG2021
Minimal hypertori in the four-dimensional sphere
Alessandro Carlotto, Mario B. Schulz
We prove that the four-dimensional round sphere contains a minimally embedded hypertorus, as well as infinitely many, pairwise non-isometric, immersed ones. Our analysis also yield…
math.DG2021
Constrained deformations of positive scalar curvature metrics, II
Alessandro Carlotto, Chao Li
We prove that various spaces of constrained positive scalar curvature metrics on compact 3-manifolds with boundary, when not empty, are contractible. The constraints we mostly focu…