Estimates for invariant metrics near a non-semipositive boundary point

Details Estimates for invariant metrics near a non-semipositive boundary point Estimates for invariant metrics near a non-semipositive boundary point

2010-06-14

arxiv.org/abs/1006.2803v5

Mathematics

Complex Variables

v5: a lower estimate for the Kobayashi metric is added

Scientific paper

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.

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