Einige Eindeutigkeitssätze in der affinen Differentialgeometrie. (Some uniqueness theorems in affine differential geometry)
type: Item
instance of: scholarly article
title: Einige Eindeutigkeitssätze in der affinen Differentialgeometrie. (Some uniqueness theorems in affine differential geometry)
zbMATH Open document ID: 0649.53006
DOI: 10.1007/BF03323253
author: Konrad Voss
published in: Results in Mathematics
publication date: 1988-01-01T00:00:00Z
review text: The paper begins with remarks on the characterization of ellipsoids by constant affine mean curvatures and on the variation of the affine surface area. The following theorem is shown: If related points of two convex surfaces have always parallel difference vectors and the same values of the first mean curvature, then they are affine images of each other.
Mathematics Subject Classification ID: 53A15
zbMATH DE Number: 4060229
zbMATH Keywords: affine curvature integral
zbMATH Keywords: Minkowski integral formula
zbMATH Keywords: ellipsoids
zbMATH Keywords: affine mean curvatures
zbMATH Keywords: affine surface area
zbMATH Keywords: convex surfaces
MaRDI profile type: Publication
cites work: Einige differentialgeometrische Kongruenzsätze für geschlossene Flächen und Hyperflächen
cites work: Über die Finsler-Räume mit \(A_i=0\)
cites work: Variational formulas for higher affine mean curvatures
full work available at URL: https://doi.org/10.1007/bf03323253
OpenAlex ID: W2048540885
description: scientific article; zbMATH DE number 4060229