论文信息 - Slopes of bisectors in normed planes

Slopes of bisectors in normed planes

The bisector of two points in a normed plane is the set of points with equal distances from the given points. Under general conditions (e.g. in strictly convex planes) the bisector is a curve that can be represented as a graph of a real function. We give sharp bounds for the derivative of this function.

Jussi Väisälä

[1] Horst Martini,et al. On regular 4-coverings and their application for lattice coverings in normed planes , 2009, Discret. Math..

[2] H. Martini,et al. The geometry of Minkowski spaces — A survey. Part I , 2007, 0708.2900.

[3] Á. Horváth. On Bisectors in Minkowski Normed Spaces , 2000 .

[4] A. G. Horv. On bisectors in Minkowski normed space. , 1997 .

[5] Tomás Recio,et al. Geometry of bisectors for strictly convex distances , 1996, Int. J. Comput. Geom. Appl..

[6] J. Heinonen. Lectures on Analysis on Metric Spaces , 2000 .