JANYŠKA, Josef. Reduction theorem for general connections. Annales Polonici Mathematici. Polsko, Varšava: Instytut Matematyczny PAN, 2011, vol. 102, No 3, p. 231-254. ISSN 0066-2216. Available from: https://dx.doi.org/10.4064/ap102-3-4. |
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@article{952032, author = {Janyška, Josef}, article_location = {Polsko, Varšava}, article_number = {3}, doi = {http://dx.doi.org/10.4064/ap102-3-4}, keywords = {General connection; classical connection; natural bundle; natural operator; covariant derivative; general covariant derivative; reduction theorem; orbit reduction theorem}, language = {eng}, issn = {0066-2216}, journal = {Annales Polonici Mathematici}, title = {Reduction theorem for general connections}, url = {http://journals.impan.gov.pl/ap/Inf/102-3-4.html}, volume = {102}, year = {2011} }
TY - JOUR ID - 952032 AU - Janyška, Josef PY - 2011 TI - Reduction theorem for general connections JF - Annales Polonici Mathematici VL - 102 IS - 3 SP - 231-254 EP - 231-254 PB - Instytut Matematyczny PAN SN - 00662216 KW - General connection KW - classical connection KW - natural bundle KW - natural operator KW - covariant derivative KW - general covariant derivative KW - reduction theorem KW - orbit reduction theorem UR - http://journals.impan.gov.pl/ap/Inf/102-3-4.html L2 - http://journals.impan.gov.pl/ap/Inf/102-3-4.html N2 - We prove the (first) reduction theorem for general and classical connections, i.e. we prove that any natural operator of a general connection on a fibered manifold and a classical connection on the base manifold can be expressed as a zero order operator of the curvature tensors of both connections and their convenient derivatives. ER -
JANYŠKA, Josef. Reduction theorem for general connections. \textit{Annales Polonici Mathematici}. Polsko, Varšava: Instytut Matematyczny PAN, 2011, vol.~102, No~3, p.~231-254. ISSN~0066-2216. Available from: https://dx.doi.org/10.4064/ap102-3-4.
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