paper

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

arXiv:2610.30464

Abstract

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

arXiv comment81 pages, 8 figures. The main text and Appendices A and B occupy pages 1-46. Appendix C on pages 47-80 collects elementary but lengthy proofs of several claims and is intended to serve as a reference. Comments welcome!