摘要
By "an elementary configuration" we mean a set of a finite number of points,oriented byperplanes and oriented hyperspheres.In this paper,a complete solution of the following problems is given.Does there exist in Euclidean space a certain elementary configuration with a prescribed metric for cach pair of its elements? If so.how can one find the coordinate representations of the elements of such a configuration?
By 'an elementary configuration' we mean a set of a finite number of points,oriented byperplanes and oriented hyperspheres.In this paper,a complete solution of the following problems is given.Does there exist in Euclidean space a certain elementary configuration with a prescribed metric for cach pair of its elements? If so.how can one find the coordinate representations of the elements of such a configuration?
基金
Project supported by the National Natural Science Foundation of China