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Doupovec, Miroslav; Mikulski, Włodzimierz M.

Holonomic extension of connections and symmetrization of jets. (English) Zbl 1160.58001

Rep. Math. Phys. 60, No. 2, 299-316 (2007).
The authors discuss the symmetrization of higher order jets and the extension of connections. First, they introduce an extension of a general connection on a fibred manifold into an \(r\)-th order holonomic connection. Then, they classify all second order holonomic extensions.
Next, after introducing symmetrization, of higher order semiholonomic and nonholonomic prolongation, they describe all symmetrization of \(r\)-th order semiholonomic prolongations.
The paper is well written and introduces elegant methods for the study of jet bundles.
Reviewer: Hasan Shahid (New Delhi)

Cited in 1 Review
Cited in 8 Documents

MSC:

58A05 Differentiable manifolds, foundations
58A20 Jets in global analysis
58A32 Natural bundles

Keywords:

holonomic jets; Ehresmann prolongation; higher-order connections
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Full Text: DOI

References:

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