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Abstract: We generalize the notion of a Lie algebroid over infinite jet bundle byreplacing the variational anchor with an N-tuple of differential operatorswhose images in the Lie algebra of evolutionary vector fields of the jet spaceare subject to collective commutation closure. The linear space of suchoperators becomes an algebra with bi-differential structural constants, ofwhich we study the canonical structure. In particular, we show that theseconstants incorporate bi-differential analogues of Christoffel symbols.



Author: Arthemy V. Kiselev, Johan W. van de Leur

Source: https://arxiv.org/







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