On some classes of algebraic surfaces with an infinite set of subspaces of skew symmetry

Special classes of (m – 1)-dimensional algebraic surfaces F ⁿ in a space E^m with inifinite set ofsubspaces of skew symmetry (in particular, orthogonal) are studied. It is assumed that directions of symmetry, as a rule, are asymptotic for F _n .Translated from Dinamicheskie Sistemy, No. 8, pp. 119–126, 1989.