On surfaces with conical singularities of arbitrary angle

2014/12/10 by Charalampos Charitos, Charitos, Charalampos, Ioannis Papadoperakis +3
Engineering · Mathematics · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Differential Equations and Numerical Methods #Material Science and Thermodynamics #math.GT #math.MG #msc:53C22 #msc:57M50

paper · pdf · doi:10.48550/arxiv.1412.3404

16 pages, 1 figure

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 set of closed geodesics is dense in the space of geodesics.

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