Reduction theorem for general connections
Annales Polonici Mathematici, Tome 102 (2011) no. 3, pp. 231-254
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
prove first reduction theorem general classical connections prove natural operator general connection vargamma fibered manifold classical connection varlambda base manifold expressed zero order operator curvature tensors vargamma varlambda their appropriate derivatives
Affiliations des auteurs :
Josef Janyška 1
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author = {Josef Jany\v{s}ka},
title = {Reduction theorem for general connections},
journal = {Annales Polonici Mathematici},
pages = {231--254},
publisher = {mathdoc},
volume = {102},
number = {3},
year = {2011},
doi = {10.4064/ap102-3-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap102-3-4/}
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Josef Janyška. Reduction theorem for general connections. Annales Polonici Mathematici, Tome 102 (2011) no. 3, pp. 231-254. doi: 10.4064/ap102-3-4
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