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

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.

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Bibliographic Details
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
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal