October 2024 Conformal geodesics cannot spiral
Peter Cameron, Maciej Dunajski, Paul Tod
Author Affiliations +
J. Differential Geom. 128(2): 557-581 (October 2024). DOI: 10.4310/jdg/1727712889

Abstract

We show that conformal geodesics on a Riemannian manifold cannot spiral: there does not exist a conformal geodesic which becomes trapped in every neighbourhood of a point.

In memory of Bernd Schmidt (1941–2023)

Citation

Download Citation

Peter Cameron. Maciej Dunajski. Paul Tod. "Conformal geodesics cannot spiral." J. Differential Geom. 128 (2) 557 - 581, October 2024. https://doi.org/10.4310/jdg/1727712889

Information

Received: 22 May 2022; Accepted: 30 October 2023; Published: October 2024
First available in Project Euclid: 30 September 2024

Digital Object Identifier: 10.4310/jdg/1727712889

Rights: Copyright © 2024 Lehigh University

JOURNAL ARTICLE
25 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

Vol.128 • No. 2 • October 2024
Back to Top