2017
Том 69
№ 5

All Issues

On the existence of a surface in the pseudo-Euclidean space with given Grassman image

Grechneva M. A., Stegantseva P. G.


Abstract

We study the properties of submanifolds of the Grassmanian manifold of the four-dimensional pseudo-Euclidean space and also the Grassman image of a surface in this space. The theorem on the existence of a surface in the pseudo-Euclidean space with the given Grassman image is formulated and proved.

Citation Example: Grechneva M. A., Stegantseva P. G. On the existence of a surface in the pseudo-Euclidean space with given Grassman image // Ukr. Mat. Zh. - 2016. - 68, № 10. - pp. 1320=1329.