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Integral formulas for the Laplacian along the unstable foliation and applications to rigidity problems for manifolds of negative curvature
Published online by Cambridge University Press: 19 September 2008
Abstract
We obtain a class of integral formulas for the Lapacian along unstable leaves of the geodesic flow of compact manifolds of negative curvature. Using these formulas, we give two functional descriptions of those manifolds with horospheres having constant mean curvature. More rigidity problems are discussed, including a simple proof of two important Lemmas by Hamenstadt which avoids her use of stochastic process.
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- Copyright © Cambridge University Press 1991
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