Rigidity and flexibility of triangle groups in complex hyperbolic geometry

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• 作者：Falbel ; E. ; Koseleff ; P.-V.
• 关键词：32H20 ; 20H10 ; 22E40 ; 57S30 ; 32G07 ; 32C16 ; Complex hyperbolic ; Triangle group ; Discrete group ; Rigidity ; CR-manifolds
• 刊名：Topology
• 出版年：2002
• 出版时间：July, 2002
• 年：2002
• 卷：41
• 期：4
• 页码：767-786
• 全文大小：258 K

文摘

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.