The semi-global isometric embedding of surfaces with Gaussian curvature changing sign cleanly
type: Item
instance of: scholarly article
title: The semi-global isometric embedding of surfaces with Gaussian curvature changing sign cleanly
zbMATH Open document ID: 1277.53006
published in: Science China. Mathematics
publication date: 2013-01-28T00:00:00Z
review text: The author gives a new method to solve the Gauss-Codazzi system, in which the linearized system is transformed into a partial differential equation of second order. Using this method, he solves the problem of semi-global isometric embedding of surfaces with Gaussian curvature changing sign cleanly.
reviewed by: Maria Aparecida Soares Ruas
Mathematics Subject Classification ID: 53A05
Mathematics Subject Classification ID: 53C21
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 6131929
zbMATH Keywords: Gauss-Codazzi system
zbMATH Keywords: isometric embedding
zbMATH Keywords: Gaussian curvature
author: Chunhe Li
MaRDI profile type: Publication
full work available at URL: s11425-012-4435-6
OpenAlex ID: W2253049838
cites work: Q5286545
cites work: On the isometric embedding of surfaces with Gauss curvature changing sign cleanly
cites work: On a linear equation arising in isometric embedding of torus-like surface
cites work: The analyticity of solutions to a class of degenerate elliptic equations
cites work: The local isometric embedding inR3 of two-dimensional riemannian manifolds with gaussian curvature changing sign cleanly
cites work: On nonlinear elliptic partial differential equations and hölder continuity
cites work: Q4889891
cites work: Q3268429
DOI: 10.1007/S11425-012-4435-6
description: scientific article; zbMATH DE number 6131929