A new Tzitzeica hypersurface and cubic Finslerian metrics of Berwald type
نویسنده
چکیده
A new hypersurface of Tzitzeica type is obtained in all three forms: parametric, implicit and explicit. To a two-parameters family of cubic Tzitzeica surfaces we associate a cubic Finsler function for which the regularity is expressed as the non-flatness of the Tzitzeica indicatrix. A natural relationship is obtained between cubic Tzitzeica surfaces and three-dimensional Berwald spaces with cubic fundamental Finsler function. M.S.C. 2010: 53A07, 53A05.
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