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Complex hyperbolic Kleinian groups

Author: William Mark Goldman
Publisher: College Park, Md. : University of Maryland, [1991]
Series: Computer science technical report series (University of Maryland at College Park), CS-TR-2676.
Edition/Format:   Book : English
Database:WorldCat
Summary:
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  Read more...
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Document Type: Book
All Authors / Contributors: William Mark Goldman
OCLC Number: 26495627
Notes: "May 1991."
Description: 22 p. : ill. ; 28 cm.
Series Title: Computer science technical report series (University of Maryland at College Park), CS-TR-2676.
Responsibility: William M. Goldman.

Abstract:

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."

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