On naturality of some construction of connections
2020 ◽
Vol 74
(1)
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pp. 57
Keyword(s):
Let \(F\) be a bundle functor on the category of all fibred manifolds and fibred maps. Let \(\Gamma\) be a general connection in a fibred manifold \(\mathrm{pr}:Y\to M\) and \(\nabla\) be a classical linear connection on \(M\). We prove that the well-known general connection \(\mathcal{F}(\Gamma,\nabla)\) in \(FY\to M\) is canonical with respect to fibred maps and with respect to natural transformations of bundle functors.
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2010 ◽
Vol 07
(04)
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pp. 705-711
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Keyword(s):
2016 ◽
Vol 70
(1)
◽
pp. 27
Keyword(s):
Keyword(s):
2011 ◽
Vol 57
(2)
◽
pp. 377-386
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