The KroneckerWeyl equidistribution theorem and geodesics in 3manifolds
Abstract
Given any rectangular polyhedron 3manifold $P$ tiled with unit cubes, we find infinitely many explicit directions related to cubic algebraic numbers such that all halfinfinite geodesics in these directions are uniformly distributed in $P$.
 Publication:

arXiv eprints
 Pub Date:
 December 2020
 arXiv:
 arXiv:2012.09464
 Bibcode:
 2020arXiv201209464B
 Keywords:

 Mathematics  Number Theory;
 11K38;
 37E35
 EPrint:
 35 pages, 12 figures