Translation curves and their spheres in homogeneous geometries

DOI10.5486/PMD.2011.4720zbMath1274.53018MaRDI QIDQ4913495

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Publication date: 5 April 2013

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

zbMATH Keywords

geodesic curvehomogeneous geometriestranslation curve

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Other special differential geometries (53A40)

Related Items (8)

The sum of the interior angles in geodesic and translation triangles of Sl2(R)~ geometry ⋮ Geodesic and translation ball packings generated by prismatic tessellations of the universal cover of \(\mathrm{SL}_2(\mathbb R)\) ⋮ 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 ⋮ Classification of \(\mathrm{Sol}\) lattices ⋮ Unnamed Item ⋮ Packings by translation balls in \({\widetilde{{\mathrm {SL}}_2(\mathbb{R})}}\) ⋮ Some characterization of curves in \(\widetilde{\mathbf{SL}_2\mathbb{R}}\) space

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