Rigidity and flexibility of triangle groups in complex hyperbolic geometry
Falbel, Elisha ; Koseleff, Pierre-Vincent
HAL, hal-01362297 / Harvested from HAL
We show that the Teichmüller space of the triangle groups of type (p,q,∞) in the automorphism group of the two-dimensional complex hyperbolic space contains open sets of 0, 1 and two real dimensions. In particular, we identify the Teichmüller space near embeddings of the modular group preserving a complex geodesic.
Publié le : 2002-07-04
Classification:  Complex hyperbolic,  Triangle group,  Discrete group,  Rigidity,  CR-manifolds,  [MATH]Mathematics [math]
@article{hal-01362297,
     author = {Falbel, Elisha and Koseleff, Pierre-Vincent},
     title = {Rigidity and flexibility of triangle groups in complex hyperbolic geometry},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01362297}
}
Falbel, Elisha; Koseleff, Pierre-Vincent. Rigidity and flexibility of triangle groups in complex hyperbolic geometry. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-01362297/