Antipodality in hyperbolic space
Por:
Bezdek K., Naszódi M., Oliveros D.
Publicada:
1 ene 2006
Resumen:
An antipodal set in Euclidean n-space is a set of points with the property that through any two of them there is a pair of parallel hyperplanes supporting the set. In this paper we discuss the various possible ways to translate this notion to hyperbolic space and find the maximal cardinality of a hyperbolic antipodal set (according to the different definitions). © Birkhäuser Verlag, Basel 2006.
Filiaciones:
Bezdek K.:
Dept. of Math. and Stats, University of Calgary, 2500 University Drive N.W., Calgary, Alta. T2N 1N4, Canada
Naszódi M.:
Dept. of Math. and Stats, University of Calgary, 2500 University Drive N.W., Calgary, Alta. T2N 1N4, Canada
Oliveros D.:
Dept. of Math. and Stats, University of Calgary, 2500 University Drive N.W., Calgary, Alta. T2N 1N4, Canada
|