Daniele Semola

collaborators

5 papers

math.DG2026

Compact Manifolds with Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

Elia BruÃ¨, Aaron Naber, Daniele Semola

It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has an almost nilpotent fundamental group. Leftover questions and conjectu…

math.DG2025

Six dimensional counterexample to the Milnor Conjecture

Elia BruÃ¨, Aaron Naber, Daniele Semola

We extend our previous work by building a smooth complete manifold $(M^{6}, g, p)$ with $Ric \geq 0$ and whose fundamental group $I ¨ _{1} (M^{6}) = Q / Z$ is infinitely…

math.DG2025

Fukaya-Yamaguchi Conjecture in Dimension Four

Elia BruÃ¨, Aaron Naber, Daniele Semola

Fukaya and Yamaguchi conjectured that if $M^{n}$ is a manifold with nonnegative sectional curvature, then the fundamental group is uniformly virtually abelian. In this short note we…

math.DG2025

Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature

Gioacchino Antonelli, Marco Pozzetta, Daniele Semola

Let $(M^{n}, g)$ be a complete Riemannian manifold which is not isometric to $R^{n}$ , has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature…

math.DG2025

Monotonicity formula and stratification of the singular set of perimeter minimizers in RCD spaces

Francesco Fiorani, Andrea Mondino, Daniele Semola

The goal of this paper is to establish a monotonicity formula for perimeter minimizing sets in RCD(0,N) metric measure cones, together with the associated rigidity statement. The a…