Formal meromorphic functions on manifolds of finite type

2008/03/14 by Robert Juhlin, Juhlin, Robert, Bernhard Lamel +3
Mathematics · #Holomorphic and Operator Theory #Meromorphic and Entire Functions #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.0803.2103

Abstract

It is shown that a real-valued formal meromorphic function on a formal generic submanifold of finite Kohn-Bloom-Graham type is necessarily constant.

Related

• Note on constancy of some formal meromorphic maps
• Formal manifolds: local structure of morphisms, and formal submanifolds
• Topological classification of generic real meromorphic functions
• Elementary considerations for classes of meromorphic univalent functions
• Some applications of the Kohn-Rossi extension theorems