Interpolation in non-positively curved Kähler manifolds

Details Interpolation in non-positively curved Kähler manifolds Interpolation in non-positively curved Kähler manifolds

2001-03-07

arxiv.org/abs/math/0103045v1

Mathematics

Complex Variables

9 pages, Latex

Scientific paper

We extend to any simply connected K\"ahler manifold with non-positive
sectional curvature some conditions for interpolation in $\mathbb{C}$ and in
the unit disk given by Berndtsson, Ortega-Cerd\`a and Seip. The main tool is a
comparison theorem for the Hessian in K\"ahler geometry due to Greene, Wu and
Siu, Yau.

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