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

2018/11/15 by Li, Jialun
#FOS: Mathematics #Geometric Topology (math.GT) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1811.06357

Abstract

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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