The flat strip theorem fails for surfaces with no conjugate points

Keith Burns*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

A compact C surface with no conjugate points is constructed so that there are two homotopic closed geodesies that do not bound a flat annulus.

Original languageEnglish (US)
Pages (from-to)199-206
Number of pages8
JournalProceedings of the American Mathematical Society
Volume115
Issue number1
DOIs
StatePublished - May 1992

Keywords

  • Flat strip theorem
  • No conjugate points

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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