Advertisement

Brody’s Theorem

  • Serge Lang
Chapter

Abstract

It followed immediately from the definition that every holomorphic map of C into a hyperbolic space is constant. Brody proved the converse under certain compactness conditions. This result has numerous applications, and reflects the global behavior of the space. This chapter is devoted to its proof and some of these applications.

Keywords

Open Neighborhood Complex Space Complex Manifold Length Function Blow Down 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

Personalised recommendations