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RETRACTED - THE KRONECKER–WEYL EQUIDISTRIBUTION THEOREM AND GEODESICS IN 3-MANIFOLDS
Part of:
Low-dimensional dynamical systems
Probabilistic theory: distribution modulo $1$; metric theory of algorithms
Published online by Cambridge University Press: 21 March 2022
Abstract
Given any rectangular polyhedron $3$ -manifold $\mathcal {P}$ 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 $\mathcal {P}$ .
Keywords
MSC classification
Secondary:
37E35: Flows on surfaces
- Type
- Research Article
- Information
- Copyright
- © The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
Footnotes
Communicated by Dzmitry Badziahin
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