Convergence of eigenvalues and Green functions under surgery type degeneration of Riemannian manifolds

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Lutz Habermann
  • Jürgen Jost

External Research Organisations

  • Ruhr-Universität Bochum
  • Max Planck Institute for Mathematics in the Sciences (MIS)
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Details

Original languageEnglish
Pages (from-to)137-158
Number of pages22
JournalCalculus of Variations and Partial Differential Equations
Volume5
Issue number2
Publication statusPublished - Jun 1997
Externally publishedYes

Abstract

We study the asymptotics for the eigenvalues and eigenfunctions and the Green function for sequences of Riemannian metrics that converge to a smooth compact limit of different topology in a controlled manner, as encountered in surgery constructions. A model case is the Bergman metric on a family of degenerating Riemann surfaces with reducible limit.

ASJC Scopus subject areas

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Convergence of eigenvalues and Green functions under surgery type degeneration of Riemannian manifolds. / Habermann, Lutz; Jost, Jürgen.
In: Calculus of Variations and Partial Differential Equations, Vol. 5, No. 2, 06.1997, p. 137-158.

Research output: Contribution to journal › Article › Research › peer review

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