Convexity properties and complete hyperbolicity of Lempert's elliptic tubes
Complex Variables
2018-09-25 v1 Geometric Topology
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.
Keywords
Cite
@article{arxiv.1002.3338,
title = {Convexity properties and complete hyperbolicity of Lempert's elliptic tubes},
author = {Daniele Alessandrini and Alberto Saracco},
journal= {arXiv preprint arXiv:1002.3338},
year = {2018}
}
Comments
11 pages