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arXiv · 2012.09464

The Kronecker-Weyl equidistribution theorem and geodesics in 3-manifolds

Jozsef Beck·William Chen
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Abstract

Given any rectangular polyhedron 3-manifold $P$ 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 $P$.

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Jozsef Beck, William Chen. 2020-12-17. The Kronecker-Weyl equidistribution theorem and geodesics in 3-manifolds. https://arxiv.org/abs/2012.09464

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