Surface in \(R^ 3\) with prescribed Gauss curvature
type: Item
instance of: scholarly article
title: Surface in \(R^ 3\) with prescribed Gauss curvature
zbMATH Open document ID: 0636.53004
published in: Chinese Annals of Mathematics. Series B
publication date: 1987-01-01T00:00:00Z
review text: The author proves that for every smooth function K(x,y) which vanishes on a simple closed smooth curve \(\Lambda\) and which satisfies \(dK|_{\Lambda}\neq 0\) there always exists a smooth surface \(z=z(x,y)\) defined in a neighbourhood of \(\Lambda\) with Gaussian curvature K(x,y).
Mathematics Subject Classification ID: 53A05
zbMATH DE Number: 4036611
zbMATH Keywords: prescribed curvature
zbMATH Keywords: Gaussian curvature
author: Jiaxing Hong
reviewed by: Stefka Hineva
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4036611