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Feb 28, 2019 at 17:13 comment added Ben McKay There is also a techical point about the definition of constant type. The method of equivalence can normalize the torsion just exactly when the stabilizer of the torsion, at each point of the bundle of the $G$-structure, lies in a fixed conjugacy class of subgroup. So one natural definition of type is the conjugacy class of the stabilizer of the torsion at each point, and then constant type occurs just when torsion normalizes. But the definition in the OP's paper is different, involving the rank of the derivatives of the torsion. Malgrange doesn't need any constant type hypothesis.
Feb 25, 2019 at 9:31 history edited Ben McKay CC BY-SA 4.0
added reference to Malgrange
Feb 23, 2019 at 8:47 history edited Ben McKay CC BY-SA 4.0
stronger wording
Feb 23, 2019 at 7:55 history answered Ben McKay CC BY-SA 4.0