Abnormal Curves on the Goursat Systems of R𝑛
We study the abnormal and the rigid curves of the 2-distributions of 𝐑𝑛 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 dimension.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/315754 |
| Summary: | We study the abnormal and the rigid curves of the
2-distributions of 𝐑𝑛 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
dimension. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |