6 citations · 26 across the 12 of their papers we have counts for
12 papers
Convex projective manifolds, symmetric spaces and geometric decompositions
Stefano Riolo, Andrea Seppi, Leone Slavich
We prove that if a closed, indecomposable, properly convex real projective -manifold is geometric or admits a geometric decomposition in the sense of Thurston, then every piece…
A cusped hyperbolic 4-manifold without spin structures
Stefano Riolo, Edoardo Rizzi
We build a non-compact, orientable, hyperbolic four-manifold of finite volume that does not admit any spin structure.
A small cusped hyperbolic 4-manifold
Stefano Riolo
By gluing some copies of a polytope of Kerckhoff and Storm's, we build the smallest known orientable hyperbolic 4-manifold that is not commensurable with the ideal 24-cell or the i…
The signature of cusped hyperbolic 4-manifolds
Alexander Kolpakov, Stefano Riolo, Steven T. Tschantz
In this note we show that every integer is the signature of a non-compact, oriented, hyperbolic 4-manifold of finite volume, and give some partial results on the geography of such…
Convex plumbings in closed hyperbolic 4-manifolds
Bruno Martelli, Stefano Riolo, Leone Slavich
We show that every plumbing of disc bundles over surfaces whose genera satisfy a simple inequality may be embedded as a convex submanifold in some closed hyperbolic four-manifold.…
Embedding non-arithmetic hyperbolic manifolds
Alexander Kolpakov, Stefano Riolo, Leone Slavich
This paper shows that many hyperbolic manifolds obtained by glueing arithmetic pieces embed into higher-dimensional hyperbolic manifolds as codimension-one totally geodesic submani…
A small closed convex projective 4-manifold via Dehn filling
Gye-Seon Lee, Ludovic Marquis, Stefano Riolo
In order to obtain a closed orientable convex projective four-manifold with small positive Euler characteristic, we build an explicit example of convex projective Dehn filling of a…
Compact hyperbolic manifolds without spin structures
Bruno Martelli, Stefano Riolo, Leone Slavich
We exhibit the first examples of compact orientable hyperbolic manifolds that do not have any spin structure. We show that such manifolds exist in all dimensions . The co…
Many cusped hyperbolic 3-manifolds do not bound geometrically
Alexander Kolpakov, Alan W. Reid, Stefano Riolo
In this note, we show that there exist cusped hyperbolic -manifolds that embed geodesically, but cannot bound geometrically. Thus, being a geometric boundary is a non-trivial pr…
New hyperbolic 4-manifolds of low volume
Stefano Riolo, Leone Slavich
We prove that there are at least 2 commensurability classes of minimal-volume hyperbolic 4-manifolds. Moreover, by applying a well-known technique due to Gromov and Piatetski-Shapi…
Hyperbolic Dehn filling in dimension four
Bruno Martelli, Stefano Riolo
We introduce and study some deformations of complete finite-volume hyperbolic four-manifolds that may be interpreted as four-dimensional analogues of Thurston's hyperbolic Dehn fil…
Spines of minimal length
Bruno Martelli, Matteo Novaga, Alessandra Pluda +1
In this paper we raise the question whether every closed Riemannian manifold has a spine of minimal area, and we answer it affirmatively in the surface case. On constant curvature…