Geodesic
On differential invariants of geometric structures
Izvestiya. Mathematics , Tome 70 (2006) no. 2, pp. 307-362

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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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     author = {R. A. Sarkisyan},
     title = {On differential invariants of geometric structures},
     journal = {Izvestiya. Mathematics },
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     number = {2},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2006_70_2_a4/}
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R. A. Sarkisyan. On differential invariants of geometric structures. Izvestiya. Mathematics , Tome 70 (2006) no. 2, pp. 307-362. http://geodesic.mathdoc.fr/item/IM2_2006_70_2_a4/