Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids
classification
🧮 math.CV
keywords
invariantsellipsoidsgeneralizedlocalmappingspseudohermitianapplicationchern--moser
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We discuss the problem of classifying all local CR diffeomorphisms of a strictly pseudoconvex surface. Our method exploits the Tanaka--Webster pseudohermitian invariants, their transformation formulae, and the Chern--Moser invariants. Our main application concerns a class of generalized ellipsoids where we classify all local CR mappings.
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