SPECTRAL THEORY OF THE FRAME FLOW ON HYPERBOLIC 3-MANIFOLDS (with an appendix by Charles Hadfield)
Résumé
We study the spectral theory and the resolvent of the vector field generating the frame flow of closed hyperbolic 3-dimensional manifolds on some family of anisotropic Sobolev spaces. We show the existence of a spectral gap and prove resolvent estimates using semiclassical methods.
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