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arxiv: 1412.3404 · v1 · pith:QSP6M7LKnew · submitted 2014-12-10 · 🧮 math.GT · math.MG

On surfaces with conical singularities of arbitrary angle

classification 🧮 math.GT math.MG
keywords anglearbitraryclosedconicalgeodesicssurfacesdenseequipped
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The geometry of closed surfaces equipped with a Euclidean metric with finitely many conical points of arbitrary angle is studied. The main result is that the set of closed geodesics is dense in the space of geodesics.

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