Some examples in L p spectral geometry

Robert Brooks, Peter Perry, Peter Petersen V

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We construct surfaces {Mathematical expression} with volume, first eigenvalue, and L p norm of the curvature bounded independent of x 0, but whose Cheeger constant tends to 0 as x 0 tends to infinity.

Original languageEnglish
Pages (from-to)293-313
Number of pages21
JournalJournal of Geometric Analysis
Issue number4
StatePublished - Jul 1993


  • L
  • Laplacian
  • Math Subject Classification: 58G99
  • spectrum

ASJC Scopus subject areas

  • Geometry and Topology


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