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most citedRolle's theorem is either false or trivial in infinite-dimensional Banach spaces

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math.AP2007

Generalized motion of level sets by functions of their curvatures on Riemannian manifolds

D. Azagra, M. Jimenez-Sevilla, F. Macia

We consider the generalized evolution of compact level sets by functions of their normal vectors and second fundamental forms on a Riemannian manifold M. The level sets of a functi…