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.
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| Format: | Article |
| Language: | English |
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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 |
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doaj-1d87b7dbbe96461ab7c075f4da0091b42020-11-24T22:18:44ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/315754315754Abnormal Curves on the Goursat Systems of R𝑛Mohamad H. Cheaito0Hassan Zeineddine1Department of Mathematics, Faculty of Sciences, Lebanese University, Hadath, LebanonDepartment of Mathematics, Faculty of Sciences, Lebanese University, Hadath, LebanonWe 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.http://dx.doi.org/10.1155/2010/315754 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mohamad H. Cheaito Hassan Zeineddine |
| spellingShingle |
Mohamad H. Cheaito Hassan Zeineddine Abnormal Curves on the Goursat Systems of R𝑛 International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Mohamad H. Cheaito Hassan Zeineddine |
| author_sort |
Mohamad H. Cheaito |
| title |
Abnormal Curves on the Goursat
Systems of R𝑛 |
| title_short |
Abnormal Curves on the Goursat
Systems of R𝑛 |
| title_full |
Abnormal Curves on the Goursat
Systems of R𝑛 |
| title_fullStr |
Abnormal Curves on the Goursat
Systems of R𝑛 |
| title_full_unstemmed |
Abnormal Curves on the Goursat
Systems of R𝑛 |
| title_sort |
abnormal curves on the goursat
systems of r𝑛 |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2010-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2010/315754 |
| work_keys_str_mv |
AT mohamadhcheaito abnormalcurvesonthegoursatsystemsofrn AT hassanzeineddine abnormalcurvesonthegoursatsystemsofrn |
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1725781970121654272 |