Some natural operations between connections on fibred manifolds

Doupovec, Miroslav, and Vondra, Alexandr. "Some natural operations between connections on fibred manifolds." Proceedings of the Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1996. [73]-84. <http://eudml.org/doc/221399>.

@inProceedings{Doupovec1996,
abstract = {Given a fibered manifold $Y \rightarrow X$, a 2-connection on $Y$ means a section $J^1 Y \rightarrow J^2 Y$. The authors determine all first order natural operators transforming a 2-connection on $Y$ and a classical linear connection on $X$ into a connection on $J^1 Y \rightarrow Y$. (The proof implies that there is no first order natural operator transforming 2-connections on $Y$ into connections on $J^1Y \rightarrow Y$.) Using this result, the authors deduce several properties of characterizable connections on $J^1 Y \rightarrow X$.},
author = {Doupovec, Miroslav, Vondra, Alexandr},
booktitle = {Proceedings of the Winter School "Geometry and Physics"},
keywords = {Proceedings; Geometry; Physics; Winter school; Srní(Czech Republic)},
location = {Palermo},
pages = {[73]-84},
publisher = {Circolo Matematico di Palermo},
title = {Some natural operations between connections on fibred manifolds},
url = {http://eudml.org/doc/221399},
year = {1996},
}

TY - CLSWK
AU - Doupovec, Miroslav
AU - Vondra, Alexandr
TI - Some natural operations between connections on fibred manifolds
T2 - Proceedings of the Winter School "Geometry and Physics"
PY - 1996
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [73]
EP - 84
AB - Given a fibered manifold $Y \rightarrow X$, a 2-connection on $Y$ means a section $J^1 Y \rightarrow J^2 Y$. The authors determine all first order natural operators transforming a 2-connection on $Y$ and a classical linear connection on $X$ into a connection on $J^1 Y \rightarrow Y$. (The proof implies that there is no first order natural operator transforming 2-connections on $Y$ into connections on $J^1Y \rightarrow Y$.) Using this result, the authors deduce several properties of characterizable connections on $J^1 Y \rightarrow X$.
KW - Proceedings; Geometry; Physics; Winter school; Srní(Czech Republic)
UR - http://eudml.org/doc/221399
ER -