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The geometry of Euclidean surfaces with conical singularities

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Publication:343641
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DOI10.1007/s00209-016-1688-8zbMath1358.53006arXiv1306.1759OpenAlexW1848532692MaRDI QIDQ343641

Charalampos Charitos, Ioannis Papadoperakis, Georgios Tsapogas

Publication date: 28 November 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.1759


zbMATH Keywords

geodesicsEuclidean surfaces with conical singularities


Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) General geometric structures on low-dimensional manifolds (57M50) Surfaces in Euclidean and related spaces (53A05)


Related Items

The quad layout immersion: a mathematically equivalent representation of a surface quadrilateral layout ⋮ On the geodesic flow on CAT(0) spaces ⋮ On the geometry of flat surfaces with a single singularity



Cites Work

  • On the existence of branched coverings between surfaces with prescribed branch data. I
  • Les surfaces euclidiennes à singularités coniques. (Euclidean surfaces with cone singularities)
  • Géométrie et théorie des groupes. Les groupes hyperboliques de Gromov. (Geometry and group theory. The hyperbolic groups of Gromov)
  • A small simplification in hyperbolic groups
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