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An extension of Ratner's rigidity theorem to n-dimensional hyperbolic space

Published online by Cambridge University Press:  19 September 2008

Livio Flaminio
Livio Flaminio
Affiliation:
Department of Mathematics, University of Maryland, College Park, MD 20740, USA and Department of Mathematics, Stanford University, Stanford, CA 94305, USA
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Abstract

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We prove that the horospherical foliations of two compact manifolds of constant negative curvature are measurably isomorphic if and only if the two manifolds are isometric.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 7 , Issue 1 , March 1987 , pp. 73 - 92
Copyright
Copyright © Cambridge University Press 1987

References

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