output
20122026
most citedComplex hyperbolic geometry of the figure eight knot

38 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions
Showing math.DGShow all

7 papers · 1 filter

math.DG2024

Geometric surgeries of three-dimensional flag structures and non-uniformizable examples

Elisha Falbel, Martin Mion-Mouton

In this paper, we introduce a notion of geometric surgery for flag structures, which are geometric structures locally modelled on the three-dimensional flag space under the action…

math.DG2023

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…

math.DG2021

Closed ray nil-affine manifolds and parabolic geometries

Raphaël Alexandre

Ray nil-affine geometries are defined on nilpotent spaces. They occur in every parabolic geometry and in those cases, the nilpotent space is an open dense subset of the correspondi…

math.DG2021

Closed ray affine manifolds

Raphaël Alexandre

We consider closed manifolds that possess a so called rank one ray structure. That is a (flat) affine structure such that the linear part is given by the products of a diagonal tra…

math.DG2021

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…

math.DG2020

Redundancy of triangle groups in spherical CR representations

Raphaël Alexandre

Falbel, Koseleff and Rouillier computed a large number of boundary unipotent CR representations of fundamental groups of non compact three-manifolds. Those representations are not…

math.DG2018

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…