Geodesic
On curves and jets of curves on supermanifolds
Archivum mathematicum, Tome 50 (2014) no. 2, pp. 115-130.

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In this paper we examine a natural concept of a curve on a supermanifold and the subsequent notion of the jet of a curve. We then tackle the question of geometrically defining the higher order tangent bundles of a supermanifold. Finally we make a quick comparison with the notion of a curve presented here are other common notions found in the literature.
DOI : 10.5817/AM2014-2-115
Classification : 58A20, 58A32, 58A50
Keywords: supermanifolds; curves; jets; higher order tangent bundles 
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     title = {On curves and jets of curves on supermanifolds},
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Bruce, Andrew James. On curves and jets of curves on supermanifolds. Archivum mathematicum, Tome 50 (2014) no. 2, pp. 115-130. doi : 10.5817/AM2014-2-115. http://geodesic.mathdoc.fr/articles/10.5817/AM2014-2-115/

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