## Kodai Mathematical Journal

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

Atsushi Hayashimoto

#### 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

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