A Metric Inequality for the Thompson and Hilbert Geometries
Walsh, Cormac ; Nussbaum, Roger D.
HAL, hal-00009458 / Harvested from HAL
Text on HAL
There are two natural metrics defined on an arbitrary convex cone: Thompson\'s part metric and Hilbert\'s projective metric. For both, we establish an inequality giving information about how far the metric is from being non-positively curved.
Publié le : 2004-07-05
Classification:  [MATH.MATH-MG]Mathematics [math]/Metric Geometry [math.MG] 
@article{hal-00009458,
     author = {Walsh, Cormac and Nussbaum, Roger D.},
     title = {A Metric Inequality for the Thompson and Hilbert Geometries},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00009458}
}

Walsh, Cormac; Nussbaum, Roger D. A Metric Inequality for the Thompson and Hilbert Geometries. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00009458/