An arithmetic property of the set of angles between closed geodesics on hyperbolic surfaces of finite type
classification
🧮 math.DG
keywords
anglesclosedfinitegeodesicshyperbolictypearithmeticconsider
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For a hyperbolic surface S of finite type we consider the set A(S) of angles between closed geodesics on S. Our main result is that there are only finitely many rational multiples of \pi in A(S).
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