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arxiv: 1610.08404 · v1 · pith:JOP3MS2Xnew · submitted 2016-10-26 · 🧮 math.GT · math.DG

Geometric filling curves on surfaces

classification 🧮 math.GT math.DG
keywords closedsurfacesboundscurvesdensityfillingfillsgeodesic
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This note is about a type of quantitative density of closed geodesics on closed hyperbolic surfaces. The main results are upper bounds on the length of the shortest closed geodesic that $\varepsilon$-fills the surface.

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