3 papers
math.DG2026
Ricci curvature and minimal hypersurfaces with large Betti numbers
Davi Maximo, Philipp Reiser, Daniele Semola
In any dimension we construct a sequence of closed -dimensional Riemannian manifolds with positive Ricci curvature admitting embedded two-sided minimal hypersurfa…
math.DG2026
New Topological Restrictions For Spaces With Nonnegative Ricci Curvature
Alessandro Cucinotta, Mattia Magnabosco, Daniele Semola
We obtain new topological restrictions for complete Riemannian manifolds with nonnegative Ricci curvature and RCD(0,n) spaces. Our main results are a Betti number rigidity theorem…
math.DG2025
The large scale structure of complete -manifolds with nonnegative Ricci curvature and Euclidean volume growth
Daniele Semola
We survey the implications of our joint work with E. Bruè and A. Pigati on the structure of blow-downs for a smooth, complete, Riemannian -manifold with nonnegative Ricci curva…