Alexander Nikolaevich Golubiatnikov (Moscow State University, Russia)

Continual models with geometrical constrains. The plane problem.

Full classification of continua with geometrical constrains is done. For this description the known sets of invariants of subgroups of general linear group of three-dimentional transformations in the class of tensors of second rank (Golubiatnikov, 1993) are used. Probllems of solvability of the constrains in the plane case are investigated.