EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 91(105), pp. 19–24 (2012)

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EHRESMANN CONNECTION IN THE GEOMETRY OF NONHOLONOMIC SYSTEMS

Aleksandar Baksa

Beograd, Serbia

Abstract: This article deals with a dynamic system whose motion is constrained by nonholonomic, reonomic, affine constraints. The article analyses the geometrical properties of the "reactions" of nonholonomic constraints in Voronets's equations of motion. The analysis shows their link with the torsion of the Ehresmann connection, which is defined by the nonholonomic constraints.

Classification (MSC2000): 37J60; 70F25

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© 2012 Mathematical Institute of the Serbian Academy of Science and Arts
© 2012 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition