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).


Manifold Hull Radon Sine Stein 


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