University of Pittsburgh

Title:  Isometric immersions of fractional Sobolev regularity and the distributional Jacobian

Abstract: We present a couple of  recent results on the rigidity of isometric immersions of 2-dimensional flat domains into R3 at fractional Sobolev and Hölder regularity regimes. Some connections of this problem with the distributional Jacobian determinant are shown and a new observation regarding the latter is discussed.