Geodesic
Geometry of Cyclic and Anticylic Algebras
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 23-27.

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The article deals with spaces the geometry of which is defined by cyclic and anticyclic algebras. Arbitrary multiplicative function is taken as a fundamental form. Motions are given as linear transformation preserving given multiplicative function.
Classification : 15A66, 53B30, 57R15
Keywords: Cyclic and anticyclic algebras; composition algebras; determinants of elements of linear algebras; multiplicative functions; groups of motions 
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Burlakov, Igor M.; Jukl, Marek. Geometry of Cyclic and Anticylic Algebras. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 23-27. http://geodesic.mathdoc.fr/item/AUPO_2016__55_2_a2/