Meilleure approximation en norme vectorielle et minima de Pareto
F. Robert (1985)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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F. Robert (1985)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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J. F. Durand (1977)
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J.J. Moreau (1965)
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Françoise Demengel (1985)
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A. Auslender (1970)
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Every bounded convex open set Ω of is endowed with its Hilbert metric . We give a necessary and sufficient condition, called quasisymmetric convexity, for this metric space to be hyperbolic. As a corollary, when the boundary is real analytic, Ω is always hyperbolic. In dimension 2, this condition is: in affine coordinates, the boundary ∂Ω is locally the graph of a C strictly convex function whose derivative is quasisymmetric.
Gabriel Mokobodzki (1961-1962)
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