|Workshop on Geometric Functionals: Analysis and Applications|
|Topic:||$L^2$ curvature for surfaces in Riemannian manifolds|
|Affiliation:||University of Freiburg|
|Date:||Thursday, March 7|
|Time/Room:||2:30pm - 3:30pm/Simonyi Hall 101|
Abstract: For surfaces immersed into a compact Riemannian manifold, we consider the curvature functional given by the $L^2$ integral of the second fundamental form. We discuss an an area bound in terms of that functional, with application to the existence of minimizers (joint work with V. Bangert).