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Deformations of hyperbolic structures

Published online by Cambridge University Press:  24 October 2008

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

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
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

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