Reduction theorem for general connections

Josef Janyška. "Reduction theorem for general connections." Annales Polonici Mathematici 102.3 (2011): 231-254. <http://eudml.org/doc/280454>.

@article{JosefJanyška2011,
abstract = {We prove the (first) reduction theorem for general and classical connections, i.e. we prove that any natural operator of a general connection Γ on a fibered manifold and a classical connection Λ on the base manifold can be expressed as a zero order operator of the curvature tensors of Γ and Λ and their appropriate derivatives.},
author = {Josef Janyška},
journal = {Annales Polonici Mathematici},
keywords = {general connection; classical connection; normal coordinates; natural bundle; natural operator; general covariant derivative; reduction theorem},
language = {eng},
number = {3},
pages = {231-254},
title = {Reduction theorem for general connections},
url = {http://eudml.org/doc/280454},
volume = {102},
year = {2011},
}

TY - JOUR
AU - Josef Janyška
TI - Reduction theorem for general connections
JO - Annales Polonici Mathematici
PY - 2011
VL - 102
IS - 3
SP - 231
EP - 254
AB - We prove the (first) reduction theorem for general and classical connections, i.e. we prove that any natural operator of a general connection Γ on a fibered manifold and a classical connection Λ on the base manifold can be expressed as a zero order operator of the curvature tensors of Γ and Λ and their appropriate derivatives.
LA - eng
KW - general connection; classical connection; normal coordinates; natural bundle; natural operator; general covariant derivative; reduction theorem
UR - http://eudml.org/doc/280454
ER -