Area of ideal triangles and Gromov hyperbolicity in Hilbert geometry
Colbois, B. ; Vernicos, C. ; Verovic, P.
Illinois J. Math., Tome 52 (2008) no. 1, p. 319-343 / Harvested from Project Euclid
We show that a Hilbert geometry is hyperbolic in the sense of Gromov if and only if there is an upper bound on the area of ideal triangles.
Publié le : 2008-05-15
Classification:  53C60,  53C24,  51F99
@article{1242414133,
     author = {Colbois, B. and Vernicos, C. and Verovic, P.},
     title = {Area of ideal triangles and Gromov hyperbolicity in Hilbert geometry},
     journal = {Illinois J. Math.},
     volume = {52},
     number = {1},
     year = {2008},
     pages = { 319-343},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1242414133}
}
Colbois, B.; Vernicos, C.; Verovic, P. Area of ideal triangles and Gromov hyperbolicity in Hilbert geometry. Illinois J. Math., Tome 52 (2008) no. 1, pp.  319-343. http://gdmltest.u-ga.fr/item/1242414133/