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.

引用

页码：547 / 553

页数：7

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