In this note we show that Euclidean and Möbius geometry of appropriate high dimension both can be expressed as incidence structures with k-spheres as points and (k +1)- spheres as blocks, incidence being the inclusio
In this paper we characterize Ptolemy circles and Ptolemy segments up to isometry. Moreover, we pres...
AbstractA very fundamental geometric problem on finite systems of spheres was independently phrased ...
In this paper we generalize the Möbius characterization of metric spheres as obtained in Foertsch an...
We obtain a Möbius characterization of the n-dimensional spheres S n endowed with the chordal metric...
We show that Euclidean Möbius planes can be axiomatized in terms of circles and circle-tangency, and...
We answer two questions of Beardon and Minda which arose from their study of the conformal symmetrie...
In this note, we give an alternative and considerably shorter proof of a result of Shult stating tha...
AbstractIn this note, we give an alternative and considerably shorter proof of a result of Shult [E....
Spherical circle planes are topological incidence geometries; one has a 2- sphere P and a collectio...
summary:We present an axiom system for class of full Euclidean spaces (i.e. of projective closures o...
A set of axioms in terms of points and lines is presented which characterize the ‘natural’ point-lin...
In general, when one refers to geometry, he or she is referring to Euclidean geometry. Euclidean geo...
To contribute to the understanding of this paper, it is necessary to make some statement about notat...
We classify the convex subspaces of all hexagonic Lie incidence geometries (among which all long roo...
AbstractIt is proved that every geometric hyperplane of an embeddable Grassmann space of finite rank...
In this paper we characterize Ptolemy circles and Ptolemy segments up to isometry. Moreover, we pres...
AbstractA very fundamental geometric problem on finite systems of spheres was independently phrased ...
In this paper we generalize the Möbius characterization of metric spheres as obtained in Foertsch an...
We obtain a Möbius characterization of the n-dimensional spheres S n endowed with the chordal metric...
We show that Euclidean Möbius planes can be axiomatized in terms of circles and circle-tangency, and...
We answer two questions of Beardon and Minda which arose from their study of the conformal symmetrie...
In this note, we give an alternative and considerably shorter proof of a result of Shult stating tha...
AbstractIn this note, we give an alternative and considerably shorter proof of a result of Shult [E....
Spherical circle planes are topological incidence geometries; one has a 2- sphere P and a collectio...
summary:We present an axiom system for class of full Euclidean spaces (i.e. of projective closures o...
A set of axioms in terms of points and lines is presented which characterize the ‘natural’ point-lin...
In general, when one refers to geometry, he or she is referring to Euclidean geometry. Euclidean geo...
To contribute to the understanding of this paper, it is necessary to make some statement about notat...
We classify the convex subspaces of all hexagonic Lie incidence geometries (among which all long roo...
AbstractIt is proved that every geometric hyperplane of an embeddable Grassmann space of finite rank...
In this paper we characterize Ptolemy circles and Ptolemy segments up to isometry. Moreover, we pres...
AbstractA very fundamental geometric problem on finite systems of spheres was independently phrased ...
In this paper we generalize the Möbius characterization of metric spheres as obtained in Foertsch an...
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