Lifting connections to the r-jet prolongation of the cotangent bundle
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2014
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Mark
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Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
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Abstract
We show that the problem of finding all Mfm -natural operators C : Q "M QJ r T ∗ lifting classical linear connections ∇ on m-manifolds M into classical linear connections CM (∇) on the r-jet prolongation J r T ∗M of the cotangent bundle T ∗M p of M can be reduced to that of finding all Mfm -natural operators D : Q "M® T ⊗ q ® T ∗ sending classical linear connections ∇ on M into tensor fields DM (∇) of type (p, q) on M .
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Mathematics for Applications. 2014, 3, č. 2, s. 115-124. ISSN 1805-3629.
http://ma.fme.vutbr.cz/archiv/3_2/ma_3_2_mikulski.pdf
http://ma.fme.vutbr.cz/archiv/3_2/ma_3_2_mikulski.pdf
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en
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© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky