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Archiv der Mathematik

, Volume 79, Issue 1, pp 67–73 | Cite as

Localization of invariant metrics

  • N. Nikolov
Article

Abstract.

The localization of the Green function, higher order and singular Kobayashi metrics, and the Azukawa metric near a local peak point of an open set in \( \mathbb{C}^n \) are proved. Localization results for the Bergman kernel (on the diagonal), Bergman metric and its holomorphic sectional curvature near a local peak point of an open pseudoconvex set in \( \mathbb{C}^n \) are also obtained.

Keywords

Green Function Sectional Curvature Local Peak Peak Point Localization Result 

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Copyright information

© Birkhäuser Verlag, Basel 2002

Authors and Affiliations

  • N. Nikolov
    • 1
  1. 1.Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria,¶ e-mail: nik@math.bas.bgBulgaria

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