Ein einfacher Beweis des Satzes von Alexandroff-Lester. (A simple proof of the theorem of Alexandroff-Lester)
type: Item
instance of: scholarly article
title: Ein einfacher Beweis des Satzes von Alexandroff-Lester. (A simple proof of the theorem of Alexandroff-Lester)
zbMATH Open document ID: 0704.51010
DOI: 10.1007/BF01230368
published in: Journal of Geometry
publication date: 1990-01-01T00:00:00Z
review text: Assume V is an at least 3-dimensional vector space, Q is a quadratic form on V, there are nontrivial singular vectors in V but not in the radical of V. Then every 0-isomorphism is a metric automorphism with respect to Q. The author gives a new, short, and transparent proof for this theorem. Examples show the necessity of the assumptions.
Mathematics Subject Classification ID: 51F20
zbMATH DE Number: 4155322
zbMATH Keywords: isometry
zbMATH Keywords: semilinear
zbMATH Keywords: Alexandroff
zbMATH Keywords: quadratic form
author: Eberhard M. Schroeder
reviewed by: Erich W. Ellers
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01230368
OpenAlex ID: W101416206
description: scientific article; zbMATH DE number 4155322