On the Sobolev Space of Isometric Immersions

Pakzad, Mohammad Reza

J. Differential Geom., Tome 66 (2004) no. 3, p. 47-69 / Harvested from Project Euclid

Résumé

We prove that every W^2,2 isometric immersion from a convex regular domain of ℝ² into ℝ³ can be approximated in W^2,2-norm by smooth isometric immersions from the same domain into ℝ³.

Publié le : 2004-01-15
Classification:

@article{1090415029,
     author = {Pakzad, Mohammad Reza},
     title = {On the Sobolev Space of Isometric Immersions},
     journal = {J. Differential Geom.},
     volume = {66},
     number = {3},
     year = {2004},
     pages = { 47-69},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1090415029}
}

Pakzad, Mohammad Reza. On the Sobolev Space of Isometric Immersions. J. Differential Geom., Tome 66 (2004) no. 3, pp.  47-69. http://gdmltest.u-ga.fr/item/1090415029/