论文标题

kronecker-weyl等分定理和3个manifolds中的测量学

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

论文作者

Beck, Jozsef, Chen, William

论文摘要

考虑到任何带有单位立方体的矩形多面体3-manifold $ p $瓷砖,我们发现与立方代数数字相关的许多明确指示,因此在这些方向上的所有半范围的大地测量学都均匀地分布在$ p $中。

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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