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math.DG2024★ 1 cited
Lower Ricci Curvature Bounds and the Orientability of Spaces
Camillo Brena, Elia Bruè, Alessandro Pigati
We study orientability in spaces with Ricci curvature bounded below. Building on the theory developed by Honda, we establish equivalent characterizations of orientability for Ricci…
math.DG2024
Unique continuation for area minimizing currents
Camillo Brena, Stefano Decio
The main goal of this work is to prove an instance of the unique continuation principle for area minimizing integral currents. More precisely, consider an -dimensional area mini…