Czechoslovak Mathematical Journal, Vol. 63, No. 1, pp. 165-175, 2013

On special types of semiholonomic $3$-jets

Ivan Kolář

Ivan Kolář, Institute of Mathematics and Statistics, Masaryk University, Kotlářská 2, CZ 611 37 Brno, Czech Republic, e-mail:

Abstract: First we summarize some properties of the nonholonomic $r$-jets from the functorial point of view. In particular, we describe the basic properties of our original concept of nonholonomic $r$-jet category. Then we deduce certain properties of the Weil algebras associated with nonholonomic $r$-jets. Next we describe an algorithm for finding the nonholonomic $r$-jet categories. Finally we classify all special types of semiholonomic $3$-jets.

Keywords: special type of nonholonomic $r$-jet, nonholonomic $r$-jet category, classification of semiholonomic $3$-jet

Classification (MSC 2010): 58A20, 58A32

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