A Morse-Sard theorem for the distance function on Riemannian manifolds
نویسندگان
چکیده
منابع مشابه
A Morse-Sard theorem for the distance function on Riemannian manifolds
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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ژورنال
عنوان ژورنال: manuscripta mathematica
سال: 2004
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s00229-003-0436-7