SOME ESTIMATES OF THE KOBAYASHI METRIC IN THE NORMAL DIRECTION

Authors
FU SQ
Citation
Sq. Fu, SOME ESTIMATES OF THE KOBAYASHI METRIC IN THE NORMAL DIRECTION, Proceedings of the American Mathematical Society, 122(4), 1994, pp. 1163-1169
Citations number
4
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
122
Issue
4
Year of publication
1994
Pages
1163 - 1169
Database
ISI
SICI code
0002-9939(1994)122:4<1163:SEOTKM>2.0.ZU;2-7
Abstract
In this paper, we study the behavior of the Kobayashi metric in the no rmal direction near a Levi-pseudoconvex boundary point of a smoothly b ounded domain without assuming global pseudoconvexity. As a corollary, we obtain a characterization of pseudoconvexity by the rate of the gr owth of the Kobayashi metric in the normal direction.