English

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

Differential Geometry 2007-05-23 v2 Spectral Theory

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.

Keywords

Cite

@article{arxiv.math/0104066,
  title  = {Tracking eigenvalues to the frontier of moduli space II: Limits for eigenvalue branches},
  author = {Chris Judge},
  journal= {arXiv preprint arXiv:math/0104066},
  year   = {2007}
}