Geodesic
On special types of semiholonomic $3$-jets
Czechoslovak Mathematical Journal, Tome 63 (2013) no. 1, pp. 165-175
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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.
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.
DOI : 10.1007/s10587-013-0011-7
Classification : 58A20, 58A32
Keywords: special type of nonholonomic $r$-jet; nonholonomic $r$-jet category; classification of semiholonomic $3$-jet 
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Kolář, Ivan. On special types of semiholonomic $3$-jets. Czechoslovak Mathematical Journal, Tome 63 (2013) no. 1, pp. 165-175. doi: 10.1007/s10587-013-0011-7

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