Abstract for the talk at 26.06.2007 (11:15 h)

Mohammad Reza Pakzad (MPI MIS, Leipzig)

A regularity gain for some classes of Sobolev isometric immersions

I will first discuss and present a proof of the following statement. Let m>1. Any W^{2,m} isometric immersion from a domain R^m into R^{m+1} is C1 regular inside the domain. I will proceed to dicuss some open problems. In particular strategies and obstacles in generalizing this result to isometric immersions of any codimension will be discussed.