Research Group:
Speaker:
V. Benci
Institution:
University of Pisa
Schedule:
Wednesday, May 7, 2003 - 08:30 to 09:30
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.