Some estimates of Kobayashi metric in the normal direction
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Abstract:
In this paper, we study the behavior of the Kobayashi metric in the normal direction near a Levi-pseudoconvex boundary point of a smoothly bounded domain without assuming global pseudoconvexity. As a corollary, we obtain a characterization of pseudoconvexity by the rate of the growth of the Kobayashi metric in the normal direction.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 1163-1169
- MSC: Primary 32H15
- DOI: https://doi.org/10.1090/S0002-9939-1994-1231034-2
- MathSciNet review: 1231034