Variation of curvature integrals
type: Item
instance of: scholarly article
title: Variation of curvature integrals
zbMATH Open document ID: 0753.53004
DOI: 10.1007/BF03323211
author: S. Singh
published in: Results in Mathematics
publication date: 1992-09-27T00:00:00Z
review text: The author studies the variation of curvature integrals for Euclidean and affine hypersurfaces. Both, the Euclidean and the affine case, are treated together by a general variational integral formula. In the unimodular case a proof due to \textit{Li Anmin} [ibid. 13, 318-326 (1988; Zbl 0644.53008)] is simplified.
Mathematics Subject Classification ID: 53A07
Mathematics Subject Classification ID: 53A15
zbMATH DE Number: 57256
zbMATH Keywords: affine curvature
zbMATH Keywords: Euclidean curvature functions
zbMATH Keywords: general variational integral formula
reviewed by: Udo Simon
MaRDI profile type: Publication
cites work: Q3247594
cites work: Variational formulas for higher affine mean curvatures
cites work: Einige differentialgeometrische Kongruenzsätze für geschlossene Flächen und Hyperflächen
cites work: Einige Eindeutigkeitssätze in der affinen Differentialgeometrie. (Some uniqueness theorems in affine differential geometry)
description: scientific article; zbMATH DE number 57256