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Lie jets and higher-order partial connections - MaRDI portal

Lie jets and higher-order partial connections (Q2202757)

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Lie jets and higher-order partial connections
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    Lie jets and higher-order partial connections (English)
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    29 September 2020
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    Higher-order partial connections are studied. Conditions are determined under which the Lie jet of a field of a geometric object \(\xi\) in the direction of the field of Weil \(\mathbb{A}\)-velocities \(Y\) coincides with the covariant derivative \(\nabla_Y\xi\) of this field with respect to some higher-order partial connection.
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    Weil algebra
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    Weil bundle
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    partial connection
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    higher-order connection
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    Lie derivative
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    Lie jet
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