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math.DG2022
Rigidity of mass-preserving -Lipschitz maps from integral current spaces into
Giacomo Del Nin, Raquel Perales
We prove that given an -dimensional integral current space and a -Lipschitz map, from this space onto the -dimensional Euclidean ball, that preserves the mass of the curre…
math.DG2022
Semicontinuity of capacity under pointed intrinsic flat convergence
Jeffrey L. Jauregui, Raquel Perales, Jacobus W. Portegies
The concept of the capacity of a compact set in generalizes readily to noncompact Riemannian manifolds and, with more substantial work, to metric spaces (where multip…
math.AP2022★ 1 cited
Yamabe problem in the presence of singular Riemannian Foliations
Diego Corro, Juan Carlos Fernández, Raquel Perales
Using variational methods together with symmetries given by singular Riemannian foliations with positive dimensional leaves, we prove the existence of an infinite number of sign-ch…