An infinite surface with the lattice property I: veech groups and coding geodesics
An infinite surface with the lattice property I: veech groups and coding geodesics
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具有晶格属性 I 的无限表面：veech 群和编码测地线
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
Patrick Hooper
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文献类型：
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作者：
Patrick Hooper
我们研究了无限平移曲面的对称性和测地线，它是由Veech研究的由正多边形构造的平移曲面的极限。我们找到了这个无限平移曲面的仿射对称群，并且证明了这个曲面允许变形到其他具有拓扑等价仿射对称的曲面上。这些新曲面上的测地线在组合上与
We study the symmetries and geodesics of an infinite translation surface which arises as a limit of translation surfaces built from regular polygons, studied by Veech. We find the affine symmetry group of this infinite translation surface, and we show that this surface admits a deformation into other surfaces with topologically equivalent affine symmetries. The geodesics on these new surfaces are combinatorially the same as the geodesics on the