Reduction theorem for general connections
Volume 102 / 2011
Annales Polonici Mathematici 102 (2011), 231-254
MSC: 53C05, 58A32, 58A20.
DOI: 10.4064/ap102-3-4
Abstract
We prove the (first) reduction theorem for general and classical connections, i.e. we prove that any natural operator of a general connection $\varGamma $ on a fibered manifold and a classical connection $\varLambda $ on the base manifold can be expressed as a zero order operator of the curvature tensors of $\varGamma $ and $\varLambda $ and their appropriate derivatives.
