A surface with positive curvature and positive topological entropy

Gerhard Knieper, Howard Weiss

Research output: Contribution to journalArticle

14 Scopus citations

Abstract

We construct explicit examples of closed surfaces with positive curvature whose geodesic flow has positive topological entropy. It follows that these surfaces have infinitely many hyperbolic closed geodesies.

Original languageEnglish (US)
Pages (from-to)229-249
Number of pages21
JournalJournal of Differential Geometry
Volume39
Issue number2
DOIs
Publication statusPublished - Mar 1994

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

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