Institut de Mathématiques de Jussieu (UMR 7586 du CNRS)
Université Paris 6 (Pierre et Marie Curie)
Case 247
4, place Jussieu
75252 Paris Cedex 05
FRANCE
email :falbel at math.jussieu.fr Bureau: 1626-520, Jussieu, 75005 Paris Téléphone: 01 44 27 53 46 URL: http://www.math.jussieu.fr/~falbel/
Generators of a Picard modular group in two complex dimensions. Avec Gábor Francsics, Peter D. Lax et John Parker.
Proc. Amer. Math. Soc. 139 (2011), no. 7, 2439-2447
The geometry of the Gauss-Picard modular group. Avec Gábor Francsics et John Parker.
Math. Ann. 349 (2011), no. 2, 459-508.
A Volume function for Spherical CR tetrahedra.
To appear in Quarterly Journal of Mathematics.
( ps)
The PU(2,1) configuration space of four points in S3 and the Cross-Ratio Variety. Avec Ioannis Platis. Math. Annalen. 340 (2008), no. 4, 935-962.
( ps)
Compacité à la Mahler-Mumford pour les
groupes fuchsiens dans un espace symétrique de rang un. Avec Richard Wentworth. ( pdf).
New version:
On Products of Isometries of Hyperbolic Space.
Topology Appl. 156 (2009), no. 13, 2257-2263.( pdf).
Geometric structures associated to triangulations as fixed point
sets of involutions. Topology and its Applications 154 (2007), no. 6, 1041-1052. ( pdf). New version with some corrections ( ps).
A spherical CR structure on the complement of the figure
eight knot with discrete holonomy. Yet another version. Journal of Differential Geometry. 79 (2008), no. 1, 69-110.
( ps)
Unitary Representations and triples of Lagrangians. Avec Richard Wentworth.
Topology 45 (2006), no. 1, 65-99.
( ps)
A bilinear form associated to contact sub-conformal and
CR-manifolds. Avec Jose Miguel Veloso.
Journal of Differential
Geometry and its Applications.
( ps)
The geometry of Eisenstein-Picard modular group. Avec John Parker.
Duke Math. Journal 131 (2006), no. 2, 249--289.
( ps)
New constructions of fundamental polyhedra in complex hyperbolic space.
Avec Martin Deraux et Julien Paupert.
Acta Mathematica 194 (2005), 155-201.
( pdf)
Fundamental domains for finite subgroups of U(2) and
Configurations of Lagrangians. Avec Julien Paupert.
Geom. Dedicata 109 (2004), 221--238.
( ps)
Classifying triples of Lagrangians in a Hermitian vector space. Avec J.-P. Marco, F. Schaffhauser.
Topology Appl. 144 (2004), no. 1-3, 1--27.
( pdf)
Measures of Transverse Paths in Sub-Riemannian Geometry. Avec F. Jean.
J. Anal. Math. 91 (2003), 231--246. ( ps)
The moduli space of the modular group in complex hyperbolic geometry. Avec J. Parker.
Inventiones Mathematicae. 152 (2003), no. 1, 57--88.
(ps)
A simple proof of the Riemann Mapping Theorem for
Domains with Spherical Boundary.
Complex Var. Theory Appl. 48 (2003), no. 3, 277--282.( ps)
A circle of Modular groups in PU(2,1). Avec P.-V. Koseleff.
Math. Res. Lett. 9 (2002), no. 2-3, 379--39
( ps)
Rigidity and flexibility of triangle groups in complex hyperbolic geometry. Avec P.-V. Koseleff.
Topology 41 (2002), no. 4, 767--786
( ps)
Finite groups generated by involutions on Lagrangian planes of C^2.
Canad. Math. Bull. 44 (2001), no. 4, 408--419
( ps)
Travaux du siècle dernier :
(avec V. Zocca), A Poincaré's polyhedron
theorem for complex hyperbolic geometry, J. Reine Angew. Math. 516 133--158 (1999).
(avec P. Bieliavsky et C. Gorodski), The classification of
contact sub-Riemannian symmetric spaces.
Pacific Journal of Mathematics 188 65-82 (1999).
(avec J. M. Veloso), A Parallelism for conformal sub-Riemannian
Geometry. Forum mathematicum 10, no. 4,
453-478 (1998).
(avec C. Gorodski, M. Rumin), On the holonomy of sub-Riemannian
spaces. International Journal of Mathematics 8, No. 3,
317-344 (1997).
(avec C. Gorodski), On homogeneous sub-Riemannian manifolds of
dimensions 3 and 4. Geometriae Dedicata 62, 227-252 (1996).
(avec C. Gorodski), On contact symmetric sub-Riemannian spaces. Annales Scient. Ecole Norm. Sup. 4, 28, 571-589 (1995).
(avec C. Gorodski, J. M. Veloso). Conformal sub-Riemannian
geometry in dimension 3. Matemática Contemporanea 9, 61-73 (1995).
(avec N. Gusevskii), Spherical CR-manifolds of dimension three.
Bulletin of Braz. Math. Soc. 25, 1, 31-56 (1994).
(avec J. M. Veloso, J. A. Verderesi). Constant curvature models in sub-Riemannian geometry. Matemática Contemporanea 4, 119-125 (1993).
Non-embeddable CR-manifolds and Surface singularities.
Inventiones Mathematicae, 108, 49-65 (1992).
Topological obstructions to the embeddability of CR-manifolds.
Matemática Contemporanea
1, 45-55 (1991).
