Abstract
We prove that elliptic tubes over properly convex domains D ⊂ ℝℙn are ℂ-convex and complete Kobayashi-hyperbolic. We also study a natural construction of complexification of convex real projective manifolds.
| Original language | English |
|---|---|
| Pages (from-to) | 603-617 |
| Number of pages | 15 |
| Journal | International Journal of Mathematics |
| Volume | 22 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 2011 |
Keywords
- Elliptic tubes
- Kobayashi hyperbolicity
- convex real projective manifolds
- ℂ-convexity
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