The Kronecker-Weyl equidistribution theorem and geodesics in 3-manifolds
Number Theory
2022-05-18 v4
Abstract
Given any rectangular polyhedron 3-manifold tiled with unit cubes, we find infinitely many explicit directions related to cubic algebraic numbers such that all half-infinite geodesics in these directions are uniformly distributed in .
Keywords
Cite
@article{arxiv.2012.09464,
title = {The Kronecker-Weyl equidistribution theorem and geodesics in 3-manifolds},
author = {Jozsef Beck and William Chen},
journal= {arXiv preprint arXiv:2012.09464},
year = {2022}
}
Comments
The argument in this paper is based on an earlier result where we have discovered a major flaw in the argument