Natural liftings of foliations to the $r$-tangent bunde

Mikulski, Włodzimierz M.. "Natural liftings of foliations to the $r$-tangent bunde." Proceedings of the Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1994. [153]-159. <http://eudml.org/doc/220901>.

@inProceedings{Mikulski1994,
abstract = {Let $F$ be a $p$-dimensional foliation on an $n$-manifold $M$, and $T^r M$ the $r$-tangent bundle of $M$. The purpose of this paper is to present some reltionship between the foliation $F$ and a natural lifting of $F$ to the bundle $T^r M$. Let $L^r_q (F)$$(q=0, 1, \dots , r)$ be a foliation on $T^r M$ projectable onto $F$ and $L^r_q= \lbrace L^r_q (F)\rbrace $ a natural lifting of foliations to $T^r M$. The author proves the following theorem: Any natural lifting of foliations to the $r$-tangent bundle is equal to one of the liftings $L^r_0, L^r_1, \dots , L^r_n$. The exposition is clear and well organized.},
author = {Mikulski, Włodzimierz M.},
booktitle = {Proceedings of the Winter School "Geometry and Physics"},
keywords = {Proceedings; Winter School; Zdíkov (Czech Republic); Geometry; Physics},
location = {Palermo},
pages = {[153]-159},
publisher = {Circolo Matematico di Palermo},
title = {Natural liftings of foliations to the $r$-tangent bunde},
url = {http://eudml.org/doc/220901},
year = {1994},
}

TY - CLSWK
AU - Mikulski, Włodzimierz M.
TI - Natural liftings of foliations to the $r$-tangent bunde
T2 - Proceedings of the Winter School "Geometry and Physics"
PY - 1994
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [153]
EP - 159
AB - Let $F$ be a $p$-dimensional foliation on an $n$-manifold $M$, and $T^r M$ the $r$-tangent bundle of $M$. The purpose of this paper is to present some reltionship between the foliation $F$ and a natural lifting of $F$ to the bundle $T^r M$. Let $L^r_q (F)$$(q=0, 1, \dots , r)$ be a foliation on $T^r M$ projectable onto $F$ and $L^r_q= \lbrace L^r_q (F)\rbrace $ a natural lifting of foliations to $T^r M$. The author proves the following theorem: Any natural lifting of foliations to the $r$-tangent bundle is equal to one of the liftings $L^r_0, L^r_1, \dots , L^r_n$. The exposition is clear and well organized.
KW - Proceedings; Winter School; Zdíkov (Czech Republic); Geometry; Physics
UR - http://eudml.org/doc/220901
ER -