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 $n\ge 2$…