On the Sobolev space of isometric immersions

Mohammed Reza Pakzad

Contact the author: Please use for correspondence this email.
Submission date: 30. Apr. 2003
Pages: 24
published in: Journal of differential geometry, 66 (2004) 1, p. 47-69 
DOI number (of the published article): 10.4310/jdg/1090415029
Bibtex
MSC-Numbers: 46T99, 53A05, 53C24, 58Dxx, 74Kxx
Keywords and phrases: rigidity of isometric immersions, developable surfaces, thin elastic bodies, curvature functionals, sobolev spaces of mappings
Download full preprint: PDF (265 kB), PS ziped (218 kB)

Abstract:
We prove that every isometric immersion from a convex regular domain of into can be approximated in -norm by smooth isometric immersions from the same domain into .