paper

Estimates for invariant metrics near a non-semipositive boundary point

arXiv:1006.2803

Abstract

We find the precise growth of some invariant metrics near a point on the boundary of a domain where the Levi form has at least one negative eigenvalue. We also introduce a new invariant pseudometric which is convenient in this context, and give some of its general properties.

v5: a lower estimate for the Kobayashi metric is added