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

✍ Scribed by C.M. Judge


Publisher
Springer
Year
2002
Tongue
English
Weight
272 KB
Volume
12
Category
Article
ISSN
1016-443X

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Tracking Eigenvalues to the Frontier of
✍ Christopher M. Judge 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 200 KB

We consider the spectral behavior of the Laplace-Beltrami operator associated to a class of singular perturbations of a Riemannian metric on a complete manifold. The class of perturbations generalizes the well-known ''opening node'' perturbation of Teichmüller theory. In particular, we recover resul