Calculus of Variations and Partial Differential Equations

, Volume 32, Issue 3, pp 319–323

Improving Pogorelov’s isometric embedding counterexample


DOI: 10.1007/s00526-007-0140-7

Cite this article as:
Nadirashvili, N. & Yuan, Y. Calc. Var. (2008) 32: 319. doi:10.1007/s00526-007-0140-7


We construct a C2,1 metric of non-negative Gauss curvature with no C2 local isometric embedding in \({\mathbb{R}}^{3}.\)

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© Springer-Verlag 2008

Authors and Affiliations

  1. 1.LATPCentre de Mathématiques et InformatiqueMarseille CedexFrance
  2. 2.Department of MathematicsUniversity of WashingtonSeattleUSA