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arxiv: 1811.06357 · v2 · pith:JMCN7COAnew · submitted 2018-11-15 · 🧮 math.SP · math.GT

Finiteness of Small Eigenvalues of Geometrically Finite Rank one Locally Symmetric Manifolds

classification 🧮 math.SP math.GT
keywords finitegeometricallylocallymanifoldsranksmallsymmetriceigenvalues
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Let M be a geometrically finite rank one locally symmetric manifolds. We prove that the spectrum of the Laplace operator on M is finite in a small interval which is optimal.

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