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20222026
most citedDensity of the boundary regular set of 2d area minimizing currents with arbitrary codimension and multiplicity

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math.DG2026

The generalized Cartan-Hadamard conjecture

Marcos Agnoletto, Márcio Fabiano Da Silva, Stefano Nardulli +1

We establish the generalized Cartan-Hadamard conjecture, including rigidity in the equality case. As a corollary, we obtain that isoperimetric regions are bounded. We prove the con…

math.DG2026

A proof of the Cartan-Hadamard conjecture for small volumes under a Ricci curvature lower bound

Marcos Agnoletto, Márcio Fabiano Da Silva, Stefano Nardulli +1

We prove the generalized Cartan-Hadamard conjecture, also known as the Aubin conjecture, in the small volume regime under a lower Ricci curvature bound, for any dimension …