Brody’s Theorem

  • Serge Lang


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.


Open Neighborhood Complex Space Complex Manifold Length Function Blow Down 
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Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

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

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