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arxiv: math/0104066 · v2 · submitted 2001-04-05 · 🧮 math.DG · math.SP

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

classification 🧮 math.DG math.SP
keywords brancheseigenvaluelimitsreal-analyticalongcompactdegenerateeigenvalues
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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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