The sum of the interior angles in geodesic and translation triangles of Sl2(R)~ geometry

DOI10.2298/FIL1814023CzbMath1499.52028arXiv1610.01500OpenAlexW2962767534MaRDI QIDQ5088068

Géza Csima, Jenő Szirmai

Publication date: 4 July 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01500

zbMATH Keywords

spherical geometryThurston geometriesgeodesic triangles\(\widetilde{\mathrm{SL}_2(\mathbb{R})}\) geometrytranslation triangles

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Spherical and hyperbolic convexity (52A55) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Related Items

Interior angle sums of geodesic triangles in $S^2 \times R$ and $H^2 \times R$ geometries, Fibre-like cylinders, their packings and coverings in \(\widetilde{\mathbf{SL}_2 \mathbf{R}}\) space, Translation-like isoptic surfaces and angle sums of translation triangles in \(\mathbf{Nil}\) geometry, Isoptic surfaces of segments in \(\mathbf{S}^2 \times \mathbf{R}\) and \(\mathbf{H}^2 \times \mathbf{R}\) geometries, On Menelaus' and Ceva's theorems in \textbf{Nil} geometry, Some characterization of curves in \(\widetilde{\mathbf{SL}_2\mathbb{R}}\) space

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