Activity: Peer-review and editorial work of publications › Publication Peer-review
Description
Paper ID: 7405692
Paper Title: An Elementary Proof of Hopf’s Curvatura Integra Theorem
Abstract: We provide an elementary proof of the key aspect of Hopf’s curvatura integra theorem. Namely, we show that the total curvature, i.e. the surface integral of the Gauss-Kronecker curvature B, is independent of the shape of the hypersurface. We accomplish this task by using the Calculus of Moving Surfaces to show that the rate of change of the total curvature under smooth changes in shape vanishes.