On special types of nonholonomic $3$-jets

Ivan Kolář

Address: Institute of Mathematics and Statistics, Masaryk University, Kotlářská 2, CZ 611 37 Brno, Czech Republic

E-mail: kolar@math.muni.cz

Abstract: We deduce a classification of all special types of nonholonomic $3$-jets. In the introductory part, we summarize the basic properties of nonholonomic $r$-jets.

AMSclassification: primary 58A20; secondary 58A32.

Keywords: nonholonomic r-jets, nonholonomic 3-jet category, Weil algebra.

DOI: 10.5817/AM2012-5-339