A Morse-Sard theorem for the distance function on Riemannian manifolds
Rifford, Ludovic
HAL, hal-00769005 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-07-05
Classification:  [MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM],  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 
@article{hal-00769005,
     author = {Rifford, Ludovic},
     title = {A Morse-Sard theorem for the distance function on Riemannian manifolds},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00769005}
}

Rifford, Ludovic. A Morse-Sard theorem for the distance function on Riemannian manifolds. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00769005/