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- W2121028053 abstract "AbstractThis paper concerns CR mappings between hyperquadrics. We emphasize the case when the domain is a sphere and the maps are invariant under a finite subgroup of the unitary group. We survey known results, provide some new examples, and use them to prove the following result. For each d there is a CR polynomial mapping of degree 2d + 1 between hyperquadrics that preserves the number of negative eigenvalues. Thus rigidity fails for CR mappings between hyperquadrics.KeywordsCR mappingsunitary groupshyperquadricsgroup-invariantmappingsHermitian formsHermitian symmetric polynomialsMathematics Subject Classification (2000)32V9932H0232H3514P0511E2511E39" @default.
- W2121028053 created "2016-06-24" @default.
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- W2121028053 date "2010-01-01" @default.
- W2121028053 modified "2023-10-17" @default.
- W2121028053 title "Invariant CR Mappings" @default.
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- W2121028053 doi "https://doi.org/10.1007/978-3-0346-0009-5_5" @default.
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