# The geometry of a positively curved Zoll surface of revolution

Source: [The geometry of a positively curved Zoll surface of revolution](<https://www.sota2.com/research/paper/68fa56901e209131ce99da98>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T14:13:48.735Z

Authors: K. Kiyohara, S. V. Sabau, K. Shibuya

Published: 2018-09-10T05:09:14.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1809.03138>)

[PDF](<https://arxiv.org/pdf/1809.03138.pdf>)