On Conics in Minkowski Planes
- Autores: Andreas Fankhänel
- Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 27, Nº 1, 2012, págs. 13-29
- Idioma: inglés
- Enlaces
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Resumen
We study basic geometric properties of metric ellipses, hyperbolas, and parabolas in normed (or Minkowski) planes and obtain results on their shapes as well as respective extensions of further statements well known in the Euclidean plane. For the special case of polygonal norms, we prove a theorem on bunches of Minkowskian ellipses and hyperbolas which are pairwise Birkhoff orthogonal.
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