Lifting connections to the r-jet prolongation of the cotangent bundle

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2014Author
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http://hdl.handle.net/11012/36715Altmetrics
10.13164/ma.2014.09
http://hdl.handle.net/11012/36715
http://hdl.handle.net/11012/36715
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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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http://hdl.handle.net/11012/36715Document type
Peer reviewedDocument version
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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
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- 2014/2 [6]