English

Geodesics With Unbounded Speed on Fluctuating Surfaces

Dynamical Systems 2023-04-27 v1

Abstract

We construct CC^{\infty} time-periodic fluctuating surfaces in R3\mathbb{R}^3 such that the corresponding nonautonomous geodesic flow has orbits along which the energy, and thus the speed, goes to infinity.

Keywords

Cite

@article{arxiv.2304.13566,
  title  = {Geodesics With Unbounded Speed on Fluctuating Surfaces},
  author = {Andrew Clarke},
  journal= {arXiv preprint arXiv:2304.13566},
  year   = {2023}
}
R2 v1 2026-06-28T10:18:35.889Z