The existence of hypersurfaces of constant Gauss curvature with prescribed boundary.
type: Item
instance of: scholarly article
title: The existence of hypersurfaces of constant Gauss curvature with prescribed boundary.
zbMATH Open document ID: 1070.58013
author: Bo Guan
author: Joel Spruck
published in: Journal of Differential Geometry
publication date: 2005-05-26T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.jdg/1090950194
review text: The authors establish the existence of hypersurfaces of constant Gauss-Kronecker curvature with prescribed boundary. This is achieved by means of Monge-Ampere type equations. Important local properties of locally convex hypersurfaces with boundary are proven. A special attention is paid to the regularity of the constructed hypersurfaces.
Mathematics Subject Classification ID: 58E12
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 53A10
zbMATH DE Number: 2171918
zbMATH Keywords: hypersurfaces
zbMATH Keywords: curvature
zbMATH Keywords: Monge-Ampere equations
zbMATH Keywords: regularity
Wikidata QID: Q115200932
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
OpenAlex ID: W1558410597
DOI: 10.4310/JDG/1090950194
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description: scientific article; zbMATH DE number 2171918