$L^2$ curvature for surfaces in Riemannian manifolds

Ernst Kuwert

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).

https://www.ias.edu/video/ws/2019/0307-ErnstKuwert