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

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

2001-04-05

arxiv.org/abs/math/0104066v2

Mathematics

Differential Geometry

Scientific paper

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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