Two-dimensional geodesic flows having first integrals of higher degree

Kazuyoshi Kiyohara

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)


We present a family of riemannian metrics on two-sphere having the property that the geodesic flows admit first integrals which are fiberwise homogeneous polynomials of degree greater than 2. They also have the property that all geodesics are closed.

Original languageEnglish
Pages (from-to)487-505
Number of pages19
JournalMathematische Annalen
Issue number3
Publication statusPublished - 2001
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


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