A characterization of the complex paraboloid
type: Item
instance of: scholarly article
title: A characterization of the complex paraboloid
zbMATH Open document ID: 0828.53011
DOI: 10.1007/BF03322833
author: Yanyan Li
published in: Results in Mathematics
publication date: 1995-12-18T00:00:00Z
review text: The authors study umbilical affine definite surfaces in \(\mathbb{R}^4\) with respect to the Nomizu-Vrancken normalization. They give an interesting inequality on the affine Gauss curvature, and using this inequality they prove that any umbilical affine definite surface in \(\mathbb{R}^4\) with complete Burstin-Mayer metric is affine equivalent to the complex paraboloid.
reviewed by: Changping Wang
Mathematics Subject Classification ID: 53A15
zbMATH DE Number: 785217
zbMATH Keywords: affine umbilical surfaces in \(\mathbb{R}^ 4\)
zbMATH Keywords: Nomizu-Vrancken normalization
zbMATH Keywords: affine Gauss curvature
zbMATH Keywords: Burstin-Mayer metric
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 785217