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Familles de mesures au bord et bas du spectre.

Abstract : In this memoir, I explain the theory of equivariant families of measures on the edge of infinity universal cover of a compact manifold has curvature strictly negative. Then I use this theory to study the behavior of the lower spectrum of the Laplacian of functions on the universal cover varied when the metric on the compact manifold. I also use this theory to demonstrate the rigidity of the spectrum mark lengths in the conformal class of a metric has negative curvature on a compact manifold.
keyword : Spectre
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Contributor : Ecole Polytechnique <>
Submitted on : Tuesday, July 27, 2010 - 10:33:52 AM
Last modification on : Wednesday, March 27, 2019 - 4:08:30 PM
Long-term archiving on: : Thursday, October 28, 2010 - 4:44:32 PM

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Olivier Mohsen. Familles de mesures au bord et bas du spectre.. Mathématiques [math]. Ecole Polytechnique X, 2007. Français. ⟨pastel-00002915⟩

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