Total squared curvature of surfaces in Riemannian manifolds

Total squared curvature of surfaces in Riemannian manifolds

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Ernst Kuwert,Albert-Ludwigs-Universität Freiburg im Breisgau
Fine Hall 314

We discuss the problem of minimizing the total squared curvature of compact surfaces in closed Riemannian manifolds. In particular, we present an area bound in terms of the curvature for many manifolds.