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

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Lutz Habermann
  • Jürgen Jost

Externe Organisationen

  • Ruhr-Universität Bochum
  • Max-Planck-Institut für Mathematik in den Naturwissenschaften (MIS)
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)137-158
Seitenumfang22
FachzeitschriftCalculus of Variations and Partial Differential Equations
Jahrgang5
Ausgabenummer2
PublikationsstatusVeröffentlicht - Juni 1997
Extern publiziertJa

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 Sachgebiete

Zitieren

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, Jahrgang 5, Nr. 2, 06.1997, S. 137-158.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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