On the $\gamma $-equivalence of semiholonomic jets

Miroslav Doupovec and Ivan Kolář

Address:
Department of Mathematics, Brno University of Technology, Brno, Czech Republic
Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Brno, Czech Republic

E-mail:
doupovec@fme.vutbr.cz
kolar@math.muni.cz

Abstract: It is well known that the concept of holonomic $r$-jet can be geometrically characterized in terms of the contact of individual curves. However, this is not true for the semiholonomic $r$-jets, [5], [8]. In the present paper, we discuss systematically the semiholonomic case.

AMSclassification: primary 58A20; secondary 58A32.

Keywords: jet bundle, semiholonomic r-jet.

DOI: 10.5817/AM2019-4-261