Abstract
We prove that every W2,2 isometric immersion from a convex regular domain of ℝ2 into ℝ3 can be approximated in W2,2-norm by smooth isometric immersions from the same domain into ℝ3.
Citation
Mohammad Reza Pakzad. "On the Sobolev Space of Isometric Immersions." J. Differential Geom. 66 (1) 47 - 69, January, 2004. https://doi.org/10.4310/jdg/1090415029
Information
Published: January, 2004
First available in Project Euclid: 21 July 2004
zbMATH: 1064.58009
MathSciNet: MR2128713
Digital Object Identifier: 10.4310/jdg/1090415029
Rights: Copyright © 2004 Lehigh University
