Department of Mathematics, Faculty of Sciences, Lebanese University, Hadath, Lebanon
Copyright © 2010 Mohamad H. Cheaito and Hassan Zeineddine. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We study the abnormal and the rigid curves of the
2-distributions of satisfying everywhere the Goursat condition. We give the
directions for the rigid and the abnormal curves when the systems satisfy the
strong Goursat condition or when they have a singularity of order 2 in each