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arxiv: 1002.3338 · v1 · pith:ODL6BRHVnew · submitted 2010-02-17 · 🧮 math.CV · math.GT

Convexity properties and complete hyperbolicity of Lempert's elliptic tubes

classification 🧮 math.CV math.GT
keywords completeconvexellipticprojectiverealtubesc-convexcomplexification
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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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