SURFACES WITH GENERALIZED 2ND FUNDAMENTAL FORM IN L(2) ARE LIPSCHITZ MANIFOLDS

Authors
TORO T
Citation
T. Toro, SURFACES WITH GENERALIZED 2ND FUNDAMENTAL FORM IN L(2) ARE LIPSCHITZ MANIFOLDS, Journal of differential geometry, 39(1), 1994, pp. 65-101
Citations number
12
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of differential geometry → ACNP
ISSN journal
0022040X
Volume
39
Issue
1
Year of publication
1994
Pages
65 - 101
Database
ISI
SICI code
0022-040X(1994)39:1<65:SWG2FF>2.0.ZU;2-9
Abstract
This paper focuses in the relationship between the class of surfaces w ith second fundamental form in L2 and the class of Lipschitz surfaces (i.e., surfaces that are locally homeomorphic via a bilipschitz map to a flat disc). In particular we prove that graphs of W2,2 (R2) functio ns are Lipschitz surfaces.