On curves and jets of curves on supermanifolds

Andrew James Bruce

Archivum Mathematicum (2014)

  • Volume: 050, Issue: 2, page 115-130
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Bruce, Andrew James. "On curves and jets of curves on supermanifolds." Archivum Mathematicum 050.2 (2014): 115-130. <http://eudml.org/doc/261205>.

@article{Bruce2014,
abstract = {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.},
author = {Bruce, Andrew James},
journal = {Archivum Mathematicum},
keywords = {supermanifolds; curves; jets; higher order tangent bundles; supermanifolds; curves; jets; higher-order tangent bundles},
language = {eng},
number = {2},
pages = {115-130},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On curves and jets of curves on supermanifolds},
url = {http://eudml.org/doc/261205},
volume = {050},
year = {2014},
}

TY - JOUR
AU - Bruce, Andrew James
TI - On curves and jets of curves on supermanifolds
JO - Archivum Mathematicum
PY - 2014
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 050
IS - 2
SP - 115
EP - 130
AB - 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.
LA - eng
KW - supermanifolds; curves; jets; higher order tangent bundles; supermanifolds; curves; jets; higher-order tangent bundles
UR - http://eudml.org/doc/261205
ER -

References

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