TY - JOUR
T1 - Convexity properties and complete hyperbolicity of Lempert's elliptic tubes
AU - Alessandrini, Daniele
AU - Saracco, Alberto
PY - 2011/5
Y1 - 2011/5
N2 - 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.
AB - 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.
KW - Elliptic tubes
KW - Kobayashi hyperbolicity
KW - convex real projective manifolds
KW - ℂ-convexity
UR - http://www.scopus.com/inward/record.url?scp=79958058133&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79958058133&partnerID=8YFLogxK
U2 - 10.1142/S0129167X11006921
DO - 10.1142/S0129167X11006921
M3 - Article
AN - SCOPUS:79958058133
SN - 0129-167X
VL - 22
SP - 603
EP - 617
JO - International Journal of Mathematics
JF - International Journal of Mathematics
IS - 5
ER -