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arXiv · 2005.08387

Spectral theory of the frame flow on hyperbolic 3-manifolds (with an appendix by Charles Hadfield)

Colin Guillarmou·Charles Hadfield·Benjamin Küster
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Abstract

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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Colin Guillarmou, Charles Hadfield, Benjamin Küster. 2020-05-17. Spectral theory of the frame flow on hyperbolic 3-manifolds (with an appendix by Charles Hadfield). https://arxiv.org/abs/2005.08387

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