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Paper   IPM / M / 15532
School of Mathematics
  Title:   On the maximum conjecture
  Author(s):  Masoud Sabzevari
  Status:   Published
  Journal: Forum Math.
  Vol.:  30
  Year:  2018
  Pages:   1599-1610
  Supported by:  IPM
We verify the maximum conjecture on the rigidity of totally nondegenerate model CR manifolds in the following two cases: (i) for all models of CR dimension one, (ii) for the so-called full-models, namely those in which their associated symbol algebras are free CR. In particular, we discover that in each arbitrary CR dimension and length �?�3, there exists at least one totally nondegenerate model, enjoying this conjecture. Our proofs rely upon some recent results in the Tanaka theory of transitive prolongation of fundamental algebras.

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