Kodai Mathematical Journal

On proper holomorphic self-mappings of generalized complex ellipsoids and generalized Hartogs triangles

Akio Kodama

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Abstract

In this paper, we study proper holomorphic self-mappings of generalized complex ellipsoids and generalized Hartogs triangles. By making use of our previous result on the holomorphic automorphism group of a generalized complex ellipsoid and Monti-Morbidelli's result on the extendability of a local CR-diffeomorphism between open subsets contained in the strictly pseudoconvex part of the boundary of a generalized complex ellipsoid, we obtain natural generalizations of some results due to Landucci, Chen-Xu and Zapalowski.

Article information

Source
Kodai Math. J., Volume 40, Number 3 (2017), 421-449.

Dates
Received: 13 June 2016
Revised: 21 November 2016
First available in Project Euclid: 31 October 2017

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1509415224

Digital Object Identifier
doi:10.2996/kmj/1509415224

Mathematical Reviews number (MathSciNet)
MR3718491

Zentralblatt MATH identifier
06827097

Subjects
Primary: 32A07: Special domains (Reinhardt, Hartogs, circular, tube)
Secondary: 32M05: Complex Lie groups, automorphism groups acting on complex spaces [See also 22E10]

Keywords
generalized complex ellipsoids generalized Hartogs triangles proper holomorphic mappings holomorphic automorphisms

Citation

Kodama, Akio. On proper holomorphic self-mappings of generalized complex ellipsoids and generalized Hartogs triangles. Kodai Math. J. 40 (2017), no. 3, 421--449. doi:10.2996/kmj/1509415224. https://projecteuclid.org/euclid.kmj/1509415224


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