Abnormal curves on the Goursat systems of \(\mathbb{R}^{n}\)

DOI10.1155/2010/315754zbMATH Open1221.58004DBLPjournals/ijmmsc/CheaitoZ10OpenAlexW2045412345WikidataQ58651735 ScholiaQ58651735MaRDI QIDQ539329

Mohamad H. Cheaito, Hassan Zeineddine

Publication date: 27 May 2011

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/231888

zbMATH Keywords

rigid curveabnormal curveGoursat systemgreat growth vectorsmall growth vector

Mathematics Subject Classification ID

Pfaffian systems (58A17) Vector distributions (subbundles of the tangent bundles) (58A30)

Cites Work

• Nilpotent bases for a class of nonintegrable distributions with applications to trajectory generation for nonholonomic systems
• Rigid and abnormal line subdistributions of \(2\)-distributions
• Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
• Rank-2 distributions satisfying the Goursat condition: all their local models in dimension 7 and 8
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