A fundamental theorem for dimension-free Möbius sphere geometries

• Autores: Walter Benz
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 76, Nº. 1-2, 2008, págs. 191-196
• Idioma: inglés
• DOI: 10.1007/s00010-007-2907-5
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• Resumen

  • Let (X, d) and (V, e) be real inner product spaces of (finite or infinite) dimensions dim X, dim V greater than 1 (see our book [1] for special notions, results and the notation applied in the present paper). Especially the following Theorem 2 will be proved. The Möbius sphere geometries over (X, d), (V, e), respectively, where is the Möbius group, are isomorphic (see [1], p. 16 f) if, and only if, (see [1], p. 1 f).