Linked Data Explorer
Complex hyperbolic Kleinian groups
Abstract: "Complex hyperbolic manifolds furnish the simplest examples of: (i) negatively curved Kähler manifolds and (ii) negatively curved Riemannian manifolds not having constant curvature. Their central importance is underscored by their appearance as the prototype of moduli spaces of various kinds of geometric structures. This paper surveys an ongoing project to find examples of complex hyperbolic manifolds by direct geometric construction of their fundamental groups. In particular complex hyperbolic Kleinian groups display both flexibility and rigidity -- compared, respectively, with their real and quaternionic counterparts. Deformations of Fuchsian groups as complex hyperbolic Kleinian groups are discussed."
- "Abstract: "Complex hyperbolic manifolds furnish the simplest examples of: (i) negatively curved Kähler manifolds and (ii) negatively curved Riemannian manifolds not having constant curvature. Their central importance is underscored by their appearance as the prototype of moduli spaces of various kinds of geometric structures. This paper surveys an ongoing project to find examples of complex hyperbolic manifolds by direct geometric construction of their fundamental groups. In particular complex hyperbolic Kleinian groups display both flexibility and rigidity -- compared, respectively, with their real and quaternionic counterparts. Deformations of Fuchsian groups as complex hyperbolic Kleinian groups are discussed.""@en
- "Complex hyperbolic Kleinian groups"@en