Connections of higher order and product preserving functors
Jacek Gancarzewicz; Noureddine Rahmani; Modesto R. Salgado
Czechoslovak Mathematical Journal (2002)
- Volume: 52, Issue: 4, page 889-896
- ISSN: 0011-4642
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topGancarzewicz, Jacek, Rahmani, Noureddine, and Salgado, Modesto R.. "Connections of higher order and product preserving functors." Czechoslovak Mathematical Journal 52.4 (2002): 889-896. <http://eudml.org/doc/30753>.
@article{Gancarzewicz2002,
abstract = {In this paper we consider a product preserving functor $\mathcal \{F\}$ of order $r$ and a connection $\Gamma $ of order $r$ on a manifold $M$. We introduce horizontal lifts of tensor fields and linear connections from $M$ to $\mathcal \{F\}(M)$ with respect to $\Gamma $. Our definitions and results generalize the particular cases of the tangent bundle and the tangent bundle of higher order.},
author = {Gancarzewicz, Jacek, Rahmani, Noureddine, Salgado, Modesto R.},
journal = {Czechoslovak Mathematical Journal},
keywords = {connections of higher order; product preserving functors; lifts of tensors and connections; connections of higher order; product preserving functors; lifts of tensors and connections},
language = {eng},
number = {4},
pages = {889-896},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Connections of higher order and product preserving functors},
url = {http://eudml.org/doc/30753},
volume = {52},
year = {2002},
}
TY - JOUR
AU - Gancarzewicz, Jacek
AU - Rahmani, Noureddine
AU - Salgado, Modesto R.
TI - Connections of higher order and product preserving functors
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 4
SP - 889
EP - 896
AB - In this paper we consider a product preserving functor $\mathcal {F}$ of order $r$ and a connection $\Gamma $ of order $r$ on a manifold $M$. We introduce horizontal lifts of tensor fields and linear connections from $M$ to $\mathcal {F}(M)$ with respect to $\Gamma $. Our definitions and results generalize the particular cases of the tangent bundle and the tangent bundle of higher order.
LA - eng
KW - connections of higher order; product preserving functors; lifts of tensors and connections; connections of higher order; product preserving functors; lifts of tensors and connections
UR - http://eudml.org/doc/30753
ER -
References
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