On the maximum conjecture
Complex Variables
2018-07-10 v1
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 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.
Cite
@article{arxiv.1807.02705,
title = {On the maximum conjecture},
author = {Masoud Sabzevari},
journal= {arXiv preprint arXiv:1807.02705},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1702.03213