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  • We compare two ways of interpreting higher order connections. The geometric approach lies in the decomposition of higher order tangent space into the horizontal and vertical structures while the jet-like approach considers a higher order connection as the section of a jet prolongation of a fibered manifold. Particularly, we use the Ehresmann prolongation of a general connection and study the result from the point of view of geometric theory. We pay attention to linear connections, too.
  • We compare two ways of interpreting higher order connections. The geometric approach lies in the decomposition of higher order tangent space into the horizontal and vertical structures while the jet-like approach considers a higher order connection as the section of a jet prolongation of a fibered manifold. Particularly, we use the Ehresmann prolongation of a general connection and study the result from the point of view of geometric theory. We pay attention to linear connections, too. (en)
Title
  • A note on jet and geometric approach to higher order connections
  • A note on jet and geometric approach to higher order connections (en)
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  • A note on jet and geometric approach to higher order connections
  • A note on jet and geometric approach to higher order connections (en)
skos:notation
  • RIV/00216305:26210/14:PU108632!RIV15-MSM-26210___
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  • P(LO1202)
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  • 978
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  • RIV/00216305:26210/14:PU108632
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  • Jet, linear connection, Ehresmann prolongation (en)
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  • [1D3D2ECD3D91]
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  • Mulhouse
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  • Germany
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  • Algebra, Geometry and Mathematical Physics
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  • Vašík, Petr
  • Rahula, Maido
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  • 000347610400024
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  • 10.1007/978-3-642-55361-5_24
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  • Springer-Verlag
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  • 978-3-642-55360-8
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  • 26210
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