Systoles of hyperbolic surfaces with big cyclic symmetry
نویسندگان
چکیده
منابع مشابه
Lengths of Systoles on Tileable Hyperbolic Surfaces
The same triangle may tile geometrically distinct surfaces of the same genus, and these tilings may determine isomorphic tiling groups. We determine if there are geometric differences in the surfaces that can be found using group theoretic methods. Specifically, we determine if the systole, the shortest closed geodesic on a surface, can distinguish a certain families of tilings. For example, th...
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ژورنال
عنوان ژورنال: Science China Mathematics
سال: 2020
ISSN: 1674-7283,1869-1862
DOI: 10.1007/s11425-019-1655-8