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PreprintarXiv licencearXiv

A smooth Riemannian metric on an arbitrary product of spheres with Bernoulli geodesic flow

  • Keith Burns
  • Tomas Gedeon
  • Yuping Ruan
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Abstract

We construct a smooth Riemannian metric on an arbitrary product of spheres whose geodesic flow is Bernoulli with respect to the Liouville measure.

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Cite

BibTeXRIS
BibTeX
@misc{burns2026smooth,
  title = {{A smooth Riemannian metric on an arbitrary product of spheres with Bernoulli geodesic flow}},
  author = {Keith Burns and Tomas Gedeon and Yuping Ruan},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.30464},
  eprint = {2610.30464},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.30464},
}
RIS
TY  - UNPB
TI  - A smooth Riemannian metric on an arbitrary product of spheres with Bernoulli geodesic flow
AU  - Keith Burns
AU  - Tomas Gedeon
AU  - Yuping Ruan
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.30464
UR  - https://arxiv.org/abs/2610.30464
AB  - We construct a smooth Riemannian metric on an arbitrary product of spheres whose geodesic flow is Bernoulli with respect to the Liouville measure.
ER  -