Some aspects of the Laplace operator in negative curvature
Ursula Hamenstädt (1991)
Séminaire de théorie spectrale et géométrie
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Displaying similar documents to “Geometric and ergodic properties of the stable foliation”
Some aspects of the Laplace operator in negative curvature
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We classify reversible measures for the stable foliation on manifolds which are infinite covers of compact negatively curved manifolds. We extend the known results from hyperbolic surfaces to varying curvature and to all dimensions.
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denotes a (compact, nonsingular) lamination by hyperbolic Riemann surfaces. We prove that a probability measure on is harmonic if and only if it is the projection of a measure on the unit tangent bundle of which is invariant under both the geodesic and the horocycle flows.
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