Dupin hypersurfaces with four principal curvatures in \(\mathbb R^{5}\) with principal coordinates
type: Item
instance of: scholarly article
title: Dupin hypersurfaces with four principal curvatures in \(\mathbb R^{5}\) with principal coordinates
zbMATH Open document ID: 1202.53018
author: Carlos M. C. Riveros
published in: Revista Matemática Complutense
publication date: 2010-10-04T00:00:00Z
review text: The authors study Dupin hypersurfaces in a five-dimensional space with four distinct principal curvatures and additional constraints. Assuming that these surfaces are parametrized by lines of curvature the authors derive some results on vector valued functions defined on the surface. Further it turns that out these functions are invariant under inversions and homotheties.
reviewed by: Boris Odehnal
Mathematics Subject Classification ID: 53A30
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 5795231
zbMATH Keywords: Dupin hypersurface
zbMATH Keywords: Laplace invariants
zbMATH Keywords: lines of curvature
zbMATH Keywords: principal curvature
MaRDI profile type: Publication
full work available at URL: s13163-009-0023-x
OpenAlex ID: W2079900109
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DOI: 10.1007/S13163-009-0023-X
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description: scientific article; zbMATH DE number 5795231