On the derivatives of the Lempert functions
Complex Variables
2010-06-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0801.2892,
title = {On the derivatives of the Lempert functions},
author = {Nikolai Nikolov and Peter Pflug},
journal= {arXiv preprint arXiv:0801.2892},
year = {2010}
}
Comments
to appear in the Ann. Mat. Pura Appl.