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

• Date: 2016
• Main Authors: Grechneva, M. A., Stegantseva, P. G., Гречнева, М. А., Стеганцева, П. Г.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1923
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.