Higher order Cartan connections

Virsik, Juraj. "Higher order Cartan connections." Archivum Mathematicum 032.4 (1996): 343-354. <http://eudml.org/doc/18475>.

@article{Virsik1996,
abstract = {A Cartan connection associated with a pair $P(M,G^\{\prime \})\subset P(M,G)$ is defined in the usual manner except that only the injectivity of $\omega :T(P^\{\prime \})\rightarrow T(G)_\{e\}$ is required. For an $r$-th order connection associated with a bundle morphism $\Phi :P^\{\prime \}\rightarrow P$ the concept of Cartan order $q\le r$ is defined, which for $q=r=1, \Phi :P^\{\prime \}\subset P$, and $\dim \{M\}=\dim \{G/G^\{\prime \}\}$ coincides with the classical definition. Results are obtained concerning the Cartan order of $r$-th order connections that are the product of $r$ first order (Cartan) connections.},
author = {Virsik, Juraj},
journal = {Archivum Mathematicum},
keywords = {non-holonomic jets and connections; semi-holonomic jets and connections; higher order relative; straight and Cartan connections; non-holonomic jets and connections; semi-holonomic jets and connections; higher order derivative; straight and Cartan connections},
language = {eng},
number = {4},
pages = {343-354},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Higher order Cartan connections},
url = {http://eudml.org/doc/18475},
volume = {032},
year = {1996},
}

TY - JOUR
AU - Virsik, Juraj
TI - Higher order Cartan connections
JO - Archivum Mathematicum
PY - 1996
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 032
IS - 4
SP - 343
EP - 354
AB - A Cartan connection associated with a pair $P(M,G^{\prime })\subset P(M,G)$ is defined in the usual manner except that only the injectivity of $\omega :T(P^{\prime })\rightarrow T(G)_{e}$ is required. For an $r$-th order connection associated with a bundle morphism $\Phi :P^{\prime }\rightarrow P$ the concept of Cartan order $q\le r$ is defined, which for $q=r=1, \Phi :P^{\prime }\subset P$, and $\dim {M}=\dim {G/G^{\prime }}$ coincides with the classical definition. Results are obtained concerning the Cartan order of $r$-th order connections that are the product of $r$ first order (Cartan) connections.
LA - eng
KW - non-holonomic jets and connections; semi-holonomic jets and connections; higher order relative; straight and Cartan connections; non-holonomic jets and connections; semi-holonomic jets and connections; higher order derivative; straight and Cartan connections
UR - http://eudml.org/doc/18475
ER -