Geodesic
Anti-holonomic jets and the Lie bracket
Archivum mathematicum, Tome 34 (1998) no. 2, pp. 311-319

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Second order anti-holonomic jets as anti-symmetric parts of second order semi-holonomic jets are introduced. The anti-holonomic nature of the Lie bracket is shown. A general result on universality of the Lie bracket is proved.
Classification : 53A55, 58A20
Keywords: jet; semi-holonomic jet; anti-holonomic jet; velocity; lie bracket; natural differential operator 
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     author = {Krupka, Michal},
     title = {Anti-holonomic jets and the {Lie} bracket},
     journal = {Archivum mathematicum},
     pages = {311--319},
     publisher = {mathdoc},
     volume = {34},
     number = {2},
     year = {1998},
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     zbl = {0915.58005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1998__34_2_a8/}
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Krupka, Michal. Anti-holonomic jets and the Lie bracket. Archivum mathematicum, Tome 34 (1998) no. 2, pp. 311-319. http://geodesic.mathdoc.fr/item/ARM_1998__34_2_a8/