Small eigenvalues of geometrically finite manifolds |
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Authors: | Ursula Hamenstädt |
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Institution: | 1.Mathematisches Institut der Universit?t,Bonn,Germany |
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Abstract: | Let M be a complete geometrically finite manifold of bounded negative curvature, infinite volume, and dimension at least 3.We give both a lower bound for the bottom of the spectrum of M and an upper bound for the number of the small eigenvalues
of M. These bounds only depend on the dimension, curvature bounds and the volume of the oneneighborhood of the convex core. |
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Keywords: | Math Subject Classifications" target="_blank">Math Subject Classifications 58J50 |
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