M. Agnoletto

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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 $n \geq 2$ …

math.DG2025

Allard's interior $ε$ -Regularity Theorem in Alexandrov spaces

Marcos Agnoletto, Julio C. Correa Hoyos, Márcio Fabiano da Silva +1

In this paper, we prove Allard's Interior $ε$ -Regularity Theorem for $m$ -dimensional varifolds with generalized mean curvature in $L_{l oc}^{p}$ , $p > m$ , in non-collapsed A…

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

Allard's interior ε-Regularity Theorem in Alexandrov spaces

Allard's interior $ε$ -Regularity Theorem in Alexandrov spaces