5 papers · 1 filter
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…
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…