Convexity properties and complete hyperbolicity of Lempert's elliptic tubes

Details Convexity properties and complete hyperbolicity of Lempert's elliptic tubes Convexity properties and complete hyperbolicity of Lempert's elliptic tubes

2010-02-17

arxiv.org/abs/1002.3338v1

Mathematics

Complex Variables

11 pages

Scientific paper

We prove that elliptic tubes over properly convex domains of the real
projective space are C-convex and complete Kobayashi-hyperbolic. We also study
a natural construction of complexification of convex real projective manifolds.

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