Abstract:
We prove that if the fibre dimension $m$ of a bundle of geometric
structures exceeds the dimension $n$ of its base, then the number of
sufficiently
general functionally independent local differential invariants of the
bundle increases to infinity as the differential degree of these invariants
grows. For $m\le n$ we describe all but two canonical forms to which every
sufficiently general geometric structure can be reduced by an appropriate
coordinate change on the base. The results obtained may be
generalized.
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