Kodai Mathematical Journal

Bundle decomposition and infinitesimal CR automorphism approaches to CR automorphism group of generalized ellipsoids

Atsushi Hayashimoto

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Abstract

Two types of elementary and direct proofs of the classification theorem for CR automorphisms of generalized ellipsoids by [MM10] are given. The first proof is to use an invariant decomposition of holomorphic tangent bundle, and the second is to use infinitesimal CR automorphisms. The advantages of our proofs are: (1) The conditions on the number nj of the variables and the exponents mj in the defining equation are weakened, (2) the proofs are more direct than [MM10], (3) our proofs may be applicable to wider class of hypersurfaces.

Article information

Source
Kodai Math. J., Volume 35, Number 3 (2012), 532-559.

Dates
First available in Project Euclid: 15 November 2012

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1352985453

Digital Object Identifier
doi:10.2996/kmj/1352985453

Mathematical Reviews number (MathSciNet)
MR2997479

Zentralblatt MATH identifier
1272.32035

Citation

Hayashimoto, Atsushi. Bundle decomposition and infinitesimal CR automorphism approaches to CR automorphism group of generalized ellipsoids. Kodai Math. J. 35 (2012), no. 3, 532--559. doi:10.2996/kmj/1352985453. https://projecteuclid.org/euclid.kmj/1352985453


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