Reconstruction of a two-dimensional surface in \(n\)-dimensional Euclidean space from its Grassmann image
type: Item
instance of: scholarly article
title: Reconstruction of a two-dimensional surface in \(n\)-dimensional Euclidean space from its Grassmann image
zbMATH Open document ID: 0566.53014
DOI: 10.1007/BF01137410
author: Yu. A. Aminov
published in: Mathematical Notes
publication date: 1984-01-01T00:00:00Z
review text: The author gives necessary and sufficient conditions for a two-surface \(\Gamma^ 2\) in a Grassmann manifold \(G_{n-2,n}\) to be the image of some two-surface \(F^ 2\) in \(E^ n\), \(n\geq 5\). It is also shown that two two-surfaces in \(E^ n\) with the same \(\Gamma^ 2\) may differ only by either a homothetic transformation or a parallel translation.
Mathematics Subject Classification ID: 53A07
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 3903470
zbMATH Keywords: surface
zbMATH Keywords: Grassmann manifold
reviewed by: Vladimir I. Oliker
MaRDI profile type: Publication
cites work: Q3948246
full work available at URL: https://doi.org/10.1007/bf01137410
OpenAlex ID: W2090613251
description: scientific article; zbMATH DE number 3903470