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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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