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Convexity properties and complete hyperbolicity of Lempert's elliptic tubes
Published 17 Feb 2010 in math.CV and math.GT | (1002.3338v1)
Abstract: 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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