Absence of super-exponentially decaying eigenfunctions on Riemannian manifolds with pinched negative curvature

@inproceedings{Vasy2005AbsenceOS,
  title={Absence of super-exponentially decaying eigenfunctions on Riemannian manifolds with pinched negative curvature},
  author={Andr{\'a}s Vasy and Jared Wunsch},
  year={2005}
}
Let (X, g) be a metrically complete, simply connected Riemannian manifold with bounded geometry and pinched negative curvature, i.e. there are constants a > b > 0 such that −a2 < K < −b2 for all sectional curvatures K. Here bounded geometry is used in the sense of Shubin, [15, Appendix 1], namely that all covariant derivatives of the Riemannian curvature tensor are bounded and the injectivity radius is uniformly bounded below by a positive constant. We show that there are no superexponentially… CONTINUE READING

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