1 citations · 2 across the 8 of their papers we have counts for
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Geometry of Projective Planes over Two-Dimensional Algebras
Maks A. Akivis, Vladislav V. Goldberg
The authors study smooth lines on projective planes over the algebra C of complex numbers, the algebra C^1 of double numbers, and the algebra C^0 of dual numbers. In the space RP^5…
Goursat's (n+1)-Webs
Vladislav V. Goldberg
We consider the Goursat's (n+1)-webs of codimension one of two kinds on an n-dimensional manifold. They are characterized by the specific closed form equations or by two special re…
Multidimensional (n+1)-Webs with Reduct Reducible Subwebs
Vladislav V. Goldberg
We find three characterizations for a multidimensional (n+1)-web W possessing a reduct reducible subweb: its closed form equations, the integrability of an invariant distribution a…
A Classification and Examples of Four-Dimensional Isoclinic Three-Webs
Vladislav V. Goldberg
A classification and examples of four-dimensional isoclinic three-webs of codimension two are given. The examples considered prove the existence theorem for many classes of webs fo…
Solution of Belousov's problem
Maks A. Akivis, Vladislav V. Goldberg
The authors prove that a local -quasigroup defined by the equation x_{n+1} = F (x_1, ..., x_n) = [f_1 (x_1) + ... + f_n (x_n)]/[x_1 + ... + x_n], where f_i (x_i), i, j = 1, ...,…
An affine analogue of the Hartman-Nirenberg cylinder theorem
Maks A. Akivis, Vladislav V. Goldberg
Let X be a smooth, complete, connected submanifold of dimension n < N in a complex affine space A^N (C), and r is the rank of its Gauss map γ, γ(x) = T_x (X). The authors prove tha…