A surface with positive curvature and positive topological entropy

Gerhard Knieper; Howard Weiss

doi:10.4310/jdg/1214454871

A surface with positive curvature and positive topological entropy

Gerhard Knieper, Howard Weiss

Research output: Contribution to journal › Article › peer-review

8 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 language	English (US)
Pages (from-to)	229-249
Number of pages	21
Journal	Journal of Differential Geometry
Volume	39
Issue number	2
DOIs	https://doi.org/10.4310/jdg/1214454871
State	Published - Mar 1994

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Geometry and Topology

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title = "A surface with positive curvature and positive topological entropy",

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.",

author = "Gerhard Knieper and Howard Weiss",

year = "1994",

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doi = "10.4310/jdg/1214454871",

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journal = "Journal of Differential Geometry",

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publisher = "International Press of Boston, Inc.",

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N2 - 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.

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A surface with positive curvature and positive topological entropy

Abstract

All Science Journal Classification (ASJC) codes

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