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Localization of invariant metrics

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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.

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Authors and Affiliations

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

    N. Nikolov

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  1. N. Nikolov
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Eingegangen am 27. 9. 2000

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Nikolov, N. Localization of invariant metrics. Arch. Math. 79, 67–73 (2002). https://doi.org/10.1007/s00013-002-8286-1

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  • DOI: https://doi.org/10.1007/s00013-002-8286-1

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