A Morse-Sard theorem for the distance function on Riemannian manifolds

نویسندگان

  • Ludovic Rifford
  • LUDOVIC RIFFORD
چکیده

We prove that the set of critical values of the distance function from a submanifold of a complete Riemannian manifold is of Lebesgue measure zero. In this way, we extend a result of Itoh and Tanaka.

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تاریخ انتشار 2005