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| Paper IPM / M / 15518 |
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| Abstract: | |
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Applying Elie Cartan�??s classical method, we show that the biholomorphic equivalence problem
to a totally nondegenerate Beloshapka�??s model of CR dimension one and codimension k > 1, whence of real
dimension 2 + k, is reducible to some absolute parallelism, namely to an e-structure on a certain prolonged
manifold of real dimension either 3 + k or 4 + k. The proof relies upon a weight analysis on the structure
equations associated with the mentioned problem of equivalence. As a consequence of the achieved results, we
also confirm in CR dimension one Beloshapka�??s maximum conjecture on the rigidity of his models of certain
lengths equal or greater than three.
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