38 citations · 109 across the 20 of their papers we have counts for
6 papers · 1 filter
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…
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…
Flag structures on real 3-manifolds
E Falbel, J Veloso
We define flag structures on a real three manifold M as the choice of two complex lines on the complexified tangent space at each point of M. We suppose that the plane field define…
Diffeomorphisms preserving R-circles in three dimensional CR manifolds
E. Falbel, J. M. Veloso
R-circles in general three dimensional CR manifolds (of contact type) are the analogues to traces of Lagrangian totally geodesic planes on the sphere viewed as the boundary of two…
A spherical CR structure on the complement of the figure eight knot with discrete holonomy
Elisha Falbel
We describe a general geometrical construction of spherical CR structures. We construct then spherical CR structures on the complement of the figure eight knot and the Whitehead li…