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Asymptotic behavior of the Kobayashi metric in the normal direction

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Abstract

In this paper we construct a pseudoconvex domain in \({\mathbb{C}}^3\) where the Kobayashi metric does not blow up at a rate of one over distance to the boundary in the normal direction.

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Authors and Affiliations

  1. Mathematics Department, The University of Michigan, East Hall, Ann Arbor, MI, 48109, USA

    John Erik Fornæss & Lina Lee

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  1. John Erik Fornæss
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  2. Lina Lee
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Correspondence to Lina Lee.

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J. E. Fornæss is supported by an NSF grant.

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Fornæss, J.E., Lee, L. Asymptotic behavior of the Kobayashi metric in the normal direction. Math. Z. 261, 399–408 (2009). https://doi.org/10.1007/s00209-008-0330-9

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  • DOI: https://doi.org/10.1007/s00209-008-0330-9

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