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The rigidity of totally nondegenerate model CR manifolds (1702.03213v2)
Published 10 Feb 2017 in math.DG and math.CV
Abstract: 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.