Tracking eigenvalues to the frontier of moduli space II: Limits for eigenvalue branches

2001/04/05 by Chris Judge, Judge, Chris
Mathematics · #35P20 #58G25 #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP) #math.DG #math.SP #msc:35P20 #msc:58G25

paper · pdf · doi:10.48550/arxiv.math/0104066

arxiv created 2002/05/17 · arxiv updated 2009/11/30

Abstract

We prove the existence of limits of real-analytic Laplace eigenvalue branches for real-analytic families of metrics that degenerate along a compact hypersurface.

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