Canonical Cartan connections on maximally minimal generic submanifolds M^5 in C^4
Résumé
On a real analytic 5-dimensional CR-generic submanifold M^5 in C^4 of codimension 3 hence of CR dimension 1, which enjoys the generically satisfied nondegeneracy condition 5 = rank T^1,0 M + T^0,1M + [T^1,0M, T^0,1M] + [T^1,0M, [T^1,0M, T^0,1M]] + [T^1,0M, [T^1,0M, [T^1,0M, T^0,1M]]], a canonical Cartan connection is constructed after reduction to a certain partially explicit {e}-structure of the concerned local biholomorphic equivalence problem.
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