Intrinsic Distances for Domains

  • Shoshichi Kobayashi
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 318)


Let X be a complex space. We denote its Carathéodory pseudo-distance by c x , (see (3.1.1)), and the induced inner pseudo-distance by c i x , (see (1.1.2)). While the Kobayashi pseudo-distance d x is always inner (see (3.1.15)), the Carathéodory pseudo-distance c x need not be (see Examples (3.1.25), (3.1.26), (3.1.27) and (3.1.28).


Holomorphic Function Complex Space Complex Manifold Pseudoconvex Domain Plurisubharmonic Function 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Shoshichi Kobayashi
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

Personalised recommendations