THE REALIZATION OF ELEMENTARY CONFIGURATIONS IN EUCLIDEAN-SPACE

Authors
ZHANG JZ YANG L YANG XC
Citation
Jz. Zhang et al., THE REALIZATION OF ELEMENTARY CONFIGURATIONS IN EUCLIDEAN-SPACE, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 37(1), 1994, pp. 15-26
Citations number
11
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences → ACNP
ISSN journal
10016511
Volume
37
Issue
1
Year of publication
1994
Pages
15 - 26
Database
ISI
SICI code
1001-6511(1994)37:1<15:TROECI>2.0.ZU;2-A
Abstract
By ''an elementary configuration'' we mean a set of a finite number of points, oriented hyperplanes and oriented hyperspheres. In this paper , a complete solution of the following problems is given. Does there e xist in Euclidean space a certain elementary configuration with a pres cribed metric for each pair of its elements? If so, how can one find t he coordinate representations of the elements of such a configuration?