Research Group:
Speaker:
E. Trelat
Institution:
University of Paris Sud (Orsay)
Schedule:
Friday, May 9, 2003 - 12:00 to 13:00
Location:
room L
Abstract:
We investigate singular curves of distributions. First, in the framework of sub-Riemannian geometry, we prove that they are scarce, giving several results of Morse-Sard type. The, taking the opposite point of view, we show that, generically (in a sense to be made precise), every nontrivial singular curve of a distribution is of minimal order and of corank one. We give some consequences of these results.