Fractional Sobolev isometric immersions of planar domains
Fractional Sobolev isometric immersions of planar domains
We discuss C 1 regularity and developability of isometric immersions of flat domains into R 3 enjoying a local fractional Sobolev W 1+s, 2 s regularity for 2/3 ≤ s < 1, generalizing the known results on Sobolev and Hölder regimes.Ingredients of the proof include analysis of the weak Codazzi-Mainardi …