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On the prolongation of 2-jet space of 2 independent and 1 dependent variables. (English) Zbl 1178.53028
Summary: We formulate the Monster Goursat manifolds for multi independent variables cases.We classify the singularities which appear in the prolongation of 2-jet space of 2 independent and 1 dependent variables.

MSC:
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
58A15 Exterior differential systems (Cartan theory)
58A20 Jets in global analysis
58A30 Vector distributions (subbundles of the tangent bundles)
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