Translation curves and their spheres in homogeneous geometries

• Autores: Emil Molnar, Brigitta Szilagyi
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 78, Fasc. 2, 2011, págs. 327-346
• Idioma: inglés
• DOI: 10.5486/pmd.2011.4720
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• Resumen

  • In this paper ve 3-dimensional homogeneous geometries Sol, Nil, and product geometries (H2, S2) are discussed.We introduce a seemingly new family of curves, called translation curves. These curves seem to be more natural in these geometries, than their geodesic lines. Visualization of the corresponding curves and spheres has also been elaborated