The geometry of a positively curved Zoll surface of revolution

Kazuyoshi Kiyohara; Sorin V. Sabau; Kazuhiro Shibuya

doi:10.1142/S0219887819410032

The geometry of a positively curved Zoll surface of revolution

Kazuyoshi Kiyohara, Sorin V. Sabau, Kazuhiro Shibuya

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

2 Citations (Scopus)

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 language	English
Article number	1941003
Journal	International Journal of Geometric Methods in Modern Physics
Volume	16
DOIs	https://doi.org/10.1142/S0219887819410032
Publication status	Published - Nov 1 2019

Keywords

Finsler surfaces
Geodesics
manifold of geodesics

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1142/S0219887819410032

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title = "The geometry of a positively curved Zoll surface of revolution",

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.",

keywords = "Finsler surfaces, Geodesics, manifold of geodesics",

author = "Kazuyoshi Kiyohara and Sabau, {Sorin V.} and Kazuhiro Shibuya",

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doi = "10.1142/S0219887819410032",

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AU - Kiyohara, Kazuyoshi

AU - Sabau, Sorin V.

AU - Shibuya, Kazuhiro

PY - 2019/11/1

Y1 - 2019/11/1

N2 - 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.

AB - 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.

KW - Finsler surfaces

KW - Geodesics

KW - manifold of geodesics

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DO - 10.1142/S0219887819410032

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SN - 0219-8878

VL - 16

JO - International Journal of Geometric Methods in Modern Physics

JF - International Journal of Geometric Methods in Modern Physics

M1 - 1941003

ER -

The geometry of a positively curved Zoll surface of revolution

Abstract

Keywords

ASJC Scopus subject areas

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