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Deformations of hyperbolic structures

Published online by Cambridge University Press:  24 October 2008

Christos Kourouniotis
Christos Kourouniotis
Affiliation:
Department of Pure Mathematics, University of Liverpool, Liverpool L69 3BX
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Extract

In this paper I shall define a deformation of hyperbolic structures on n-manifolds, called ‘bending’, by constructing a family of quasiconformal homeomorphisms of hyperbolic (n+ l)-space. The deformation can be applied to manifolds which contain totally geodesic submanifolds of codimension 1.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 98 , Issue 2 , September 1985 , pp. 247 - 261
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

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