On certain quartic forms for affine surfaces
type: Item
instance of: scholarly article
title: On certain quartic forms for affine surfaces
zbMATH Open document ID: 0799.53014
author: Katsumi Nomizu
author: Takeshi Sasaki
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1994-06-20T00:00:00Z
review text: The authors introduce some interesting new invariants in equiaffine hypersurface theory, namely some quadratic and quartic forms. They apply these results to characterize certain classes of nondegenerate surfaces in affine 3-space by the vanishing of such an invariant; as an example: they characterize all flat affine spheres by the vanishing of a qudratic form. -- A final chapter is devoted to the characterization of hyperquadrics in \({\mathbb{R}}P^{n+1}\) using tools of affine differential geometry.
Mathematics Subject Classification ID: 53A15
Mathematics Subject Classification ID: 53A20
zbMATH DE Number: 570300
zbMATH Keywords: equiaffine hypersurface theory
zbMATH Keywords: flat affine spheres
zbMATH Keywords: hyperquadrics
reviewed by: Udo Simon
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178227373
OpenAlex ID: W2017661464
cites work: Q4040257
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cites work: Q4219001
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Wikidata QID: Q125910796
DOI: 10.2748/TMJ/1178227373
description: scientific article; zbMATH DE number 570300