“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
Paper IPM / M / 15532  


Abstract:  
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 socalled fullmodels, namely those in which their associated symbol algebras are free CR. In particular, we discover that in each arbitrary CR dimension and length ï¿½?ï¿½3, 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.
Download TeX format 

back to top 