Some estimates of the kobayashi metric in the normal direction

Siqi Fu

doi:10.1090/S0002-9939-1994-1231034-2

Some estimates of the kobayashi metric in the normal direction

Siqi Fu

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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.

Original language	English (US)
Pages (from-to)	1163-1169
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	122
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-1994-1231034-2
State	Published - Dec 1994
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

Keywords

Kobayashi metric
Pseudoconvex domain

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10.1090/S0002-9939-1994-1231034-2

Cite this

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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.",

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AB - 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.

KW - Kobayashi metric

KW - Pseudoconvex domain

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 4

ER -

Some estimates of the kobayashi metric in the normal direction

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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