Totally nondegenerate models and standard manifolds in CR dimension one
Masoud Sabzevari
TL;DR
This paper proves that in CR dimension one, totally nondegenerate models have isomorphic automorphism algebras, making these models maximally homogeneous and standard, thus answering a longstanding question.
Contribution
It establishes the isomorphism of automorphism algebras for totally nondegenerate CR models in dimension one, confirming their maximal homogeneity and standardness.
Findings
Automorphism algebras are isomorphic in the studied models
Models are shown to be maximally homogeneous
Provides an affirmative answer to Beloshapka's question in CR dimension one
Abstract
It is shown that two Levi-Tanaka and infinitesimal CR automorphism algebras, associated with a totally nondegenerate model of CR dimension one are isomorphic. As a result, the model surfaces are maximally homogeneous and standard. This gives an affirmative answer in CR dimension one to a certain question formulated by Beloshapka.
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