The geometry of Euclidean surfaces with conical singularities

Charalampos Charitos; Ioannis Papadoperakis; Georgios Tsapogas

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arXiv · 1306.1759

The geometry of Euclidean surfaces with conical singularities

Charalampos Charitos·Ioannis Papadoperakis·Georgios Tsapogas

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Abstract

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 image of a non-closed geodesic has 0 distance from the set of conical points. Dynamical properties for the space of geodesics are also proved.

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Charalampos Charitos, Ioannis Papadoperakis, Georgios Tsapogas. 2013-06-07. The geometry of Euclidean surfaces with conical singularities. https://arxiv.org/abs/1306.1759

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