Complete flat cone metrics on punctured surfaces

DOI10.3906/mat-1806-23zbMath1415.51013arXiv1602.04240OpenAlexW3101423257WikidataQ128156289 ScholiaQ128156289MaRDI QIDQ5743019

Ismail Saglam

Publication date: 8 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.04240

zbMATH Keywords

Hopf-Rinow theoremGauss-Bonnet formulaflat metricsurfaces with punctures

Mathematics Subject Classification ID

Metric geometry (51F99) General geometric structures on low-dimensional manifolds (57M50)

Related Items (4)

Signature Calculation of the Area Hermitian Form on Some Spaces of Polygons ⋮ Classification of Punctures on Complete Flat Surfaces ⋮ Ideal triangulation and disc unfolding of a singular flat surface ⋮ On the Moduli Space of Flat Tori Having Unit Area

Cites Work

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• From spaces of polygons to spaces of polyhedra following Bavard, Ghys and Thurston
• Les surfaces euclidiennes à singularités coniques. (Euclidean surfaces with cone singularities)
• Planar polygons and hyperbolic polyhedra
• Prescribing curvature on open surfaces
• Euclidean structures on simplicial surfaces and hyperbolic volume
• The Leech lattice and complex hyperbolic reflections
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• SHAPES OF POLYHEDRA, MIXED VOLUMES AND HYPERBOLIC GEOMETRY
• Hypergeometric Galois Actions
• A panaroma of the fundamental group of the modular orbifold
• Prescribing Curvature on Compact Surfaces with Conical Singularities
• Quadrangulations of sphere and ball quotients
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

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