RETRACTED - THE KRONECKER–WEYL EQUIDISTRIBUTION THEOREM AND GEODESICS IN 3-MANIFOLDS

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of the Australian Mathematical Society Pub Date : 2022-03-21 DOI:10.1017/s1446788721000422

J. BECK, W. W. L. CHEN

引用次数: 0

Abstract

Given any rectangular polyhedron Abstract Image $3$ -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 $\mathcal {P}$ .

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缩回- 3流形中的kronecker-weyl等分布定理和测地线

给定任意铺有单位立方体的矩形多面体$3$-流形$\mathcal {P}$，我们找到了无限多个与三次代数数相关的显式方向，使得这些方向上的所有半无限测地线均匀分布在$\mathcal {P}$中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Australian Mathematical Society 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Journal of the Australian Mathematical Society is the oldest journal of the Society, and is well established in its coverage of all areas of pure mathematics and mathematical statistics. It seeks to publish original high-quality articles of moderate length that will attract wide interest. Papers are carefully reviewed, and those with good introductions explaining the meaning and value of the results are preferred. Published Bi-monthly Published for the Australian Mathematical Society