38 citations · 109 across the 20 of their papers we have counts for
23 papers
A Hilbert metric for bounded symmetric domains
Elisha Falbel, Antonin Guilloux, Pierre Will
Bounded symmetric domains carry several natural invariant metrics, for example the Carathéodory, Kobayashi or the Bergman metric. We define another natural metric, from generalized…
A global invariant for path structures and second order differential equations
Elisha Falbel, Jose Miguel Veloso
We study a global invariant for path structures. The invariant is obtained as a secondary invariant from a Cartan connection on a canonical bundle associated to a path structure. I…
Slim curves, limit sets and spherical CR uniformisations
Elisha Falbel, Antonin Guilloux, Pierre Will
We consider here the -sphere seen as the boundary at infinity of the complex hyperbolic plane . It comes equipped with a contact structur…
Representations of Deligne-Mostow lattices into PGL(3, C) -- Part II
Elisha Falbel, Irene Pasquinelli, Alejandro Ucan-Puc
We complete the classification of type preserving representations of Deligne-Mostow lattices with 3-fold symmetry into PGL(3,C) started in arXiv:2003.06466. In particular, we show…
Representations of Deligne-Mostow lattices into PGL(3, C)
E Falbel, I Pasquinelli, A Ucan-Puc
We classify representations of a class of Deligne-Mostow lattices into PGL(3;C). In particular, we show local rigidity for the representations (of Deligne-Mostow lattices with 3-fo…
Cartan connections and path structures with large automorphisms groups
Elisha Falbel, Martin Mion-Mouton, Jose Miguel Veloso
We classify compact manifolds of dimension three equipped with a path structure and a fixed contact form (which we refer to as a strict path structure) under the hypothesis that th…