The geometry of a positively curved Zoll surface of revolution

Kazuyoshi Kiyohara, Sorin V. Sabau, Kazuhiro Shibuya

Research output: Contribution to journalArticle

Abstract

In this paper, we study the geometry of the manifolds of geodesics of a Zoll surface of positive Gauss curvature, show how these metrics induce Finsler metrics of constant flag curvature and give some explicit constructions.

Original languageEnglish
JournalInternational Journal of Geometric Methods in Modern Physics
DOIs
Publication statusAccepted/In press - Jan 1 2019

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Keywords

  • Finsler surfaces
  • Geodesics
  • Manifold of geodesics

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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