Collapsing of connected sums and the eigenvalues of the Laplacian

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


We study the behavior of the eigenvalues of the Laplacian acting on functions when one side of a connected sum of two closed Riemannian manifolds collapses to a point. We prove that the eigenvalues converge to those of the limit space, by using the method of Anné and Colbois. From this, we obtain a gluing theorem for the eigenvalues.

Original languageEnglish
Pages (from-to)201-208
Number of pages8
JournalJournal of Geometry and Physics
Issue number3-4
Publication statusPublished - 2002 Jan 1
Externally publishedYes


  • Collapsing of Riemannian manifolds
  • Eigenvalue
  • Laplacian

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Geometry and Topology


Dive into the research topics of 'Collapsing of connected sums and the eigenvalues of the Laplacian'. Together they form a unique fingerprint.

Cite this