On the derivatives of the Lempert functions

被引：8
|
作者：
Nikolov, Nikolai [1 ]
Pflug, Peter [2 ]
机构：
[1] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria
[2] Carl von Ossietzky Univ Oldenburg, Inst Math, Fak 5, D-26111 Oldenburg, Germany
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2008年 / 187卷 / 03期
关键词：
Lempert functions; Kobayashi pseudodistance; Kobayashi-Royden pseudometric; Kobayashi-Buseman pseudometric;
D O I：
10.1007/s10231-007-0056-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that if the Kobayashi-Royden metric of a complex manifold is continuous and positive at a given point and any non-zero tangent vector, then the "derivatives" of the higher order Lempert functions exist and equal the respective Kobayashi metrics at the point. It is a generalization of a result by M. Kobayashi for taut manifolds.
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页码：547 / 553
页数：7
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