7 citations · 28 across the 25 of their papers we have counts for
25 papers
Differential Geometry of Veronese Webs
Maks A. Akivis, Vladislav V. Goldberg
This paper has been withdrawn by the authors due to the fact that the webs considered in the paper are ``Veronese-like webs'' which are different from Veronese webs.
Induced connections on submanifolds in spaces with fundamental groups
Maks A. Akivis, Vladislav V. Goldberg, Arto V. Chakmazyan
The authors establish a relation of the theory of varieties with degenerate Gauss maps in projective spaces with the theory of congruences and pseudocongruences of subspaces and sh…
Dually degenerate varieties and the generalization of a theorem of Griffiths--Harris
Maks A. Akivis, Vladislav V. Goldberg
The dual variety X* for a smooth n-dimensional variety X of the projective space P^N is the set of tangent hyperplanes to X. In the general case, the variety X* is a hypersurface i…
Varieties with Degenerate Gauss Maps with Multiple Foci and Twisted Cones
Maks A. Akivis, Vladislav V. Goldberg
The authors study in detail new types of varieties with degenerate Gauss maps: varieties with multiple foci and their particular case, the so-called twisted cones. They prove an ex…
Linearizability of d-webs, d \geq 4, on two-dimensional manifolds
Maks A. Akivis, Vladislav V. Goldberg, Valentin V. Lychagin
We find d - 2 relative differential invariants for a d-web, d \geq 4, on a two-dimensional manifold and prove that their vanishing is necessary and sufficient for a d-web to be lin…
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…