| 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.