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

Autor: Beck, Jozsef, Chen, William
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: 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 $P$.
Comment: The argument in this paper is based on an earlier result where we have discovered a major flaw in the argument
Databáze: arXiv