The rigidity of totally nondegenerate model CR manifolds
classification
🧮 math.DG
math.CV
keywords
modelnondegeneraterigiditytotallyactuallyanalyticassociatedautomorphisms
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In this paper, we prove that every real analytic totally nondegenerate model CR manifold of length >= 3 has rigidity. This result was actually conjectured before by Valerii Beloshapka as the so-called "maximum conjecture". It follows that the transformation Lie group of all CR automorphisms associated with each of the mentioned models does not include any nonlinear map.
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