Published Paper

Inserted: 9 may 2023
Last Updated: 13 aug 2025

Journal: Springer INdAM Series
Volume: 62
Year: 2024
Doi: https://doi.org/10.1007/978-981-97-6984-1_8

Abstract:

We review some recent results about the relations among isoperimetric sets, Penrose inequalities and related concepts in the analysis of $3$-manifolds of nonnegative scalar curvature. We also show that if the isoperimetric sets of big volume have connected boundaries, the equivalence among suitable notions of mass hold.