Work

Holomorphic mappings between pseudoellipsoids in different dimensions

Year: 2014

Type: article

Abstract: We give a necessary and sufficient condition for the existence of nondegenerate holomorphic mappings between pseudoellipsoidal real hypersurfaces, and provide an explicit parametrization for the collection of all such mappings (in the situations where they exist).

Source: Methods and Applications of Analysis

DOI: 10.4310/maa.2014.v21.n3.a6

Authors: Peter Ebenfelt, Duong Ngoc Son

Institutions: University of California San Diego, University of California, Irvine

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, Vietnam Education Foundation

Award: Mappings of real submanifolds in complex space, CR geometry, and analytic PDE