Abstract
We generalize the notion of a Lie algebroid over infinite jet bundle by replacing the variational anchor with an N-tuple of differential operators whose images in the Lie algebra of evolutionary vector fields of the jet space are subject to collective commutation closure. The linear space of such operators becomes an algebra with bi-differential structural constants, of which we study the canonical structure. In particular, we show that these constants incorporate bi-differential analogues of Christoffel symbols.
| Original language | English |
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| Title of host publication | Summetríâ V : the 5th international workshop in Group Analysis of Differential Equations and Integrable Systems |
| Publication status | Published - 6 Jun 2010 |