On the non-generic Tzitzeica-Johnson's Configuration

被引：0

作者：

Boskoff, Wladimir G. ^{[1
]}

Barcanescu, Serban ^{[2
]}

Bobe, Alexandru ^{[1
]}

机构：

[1] Ovidius Univ Constanta, Dept Math, Constanta 900527, Romania

[2] Romanian Acad, Inst Math, Bucharest, Romania

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2012年 / 20卷 / 02期

关键词：

Neutral plane; axiom of parallels; Tzitzeica problem; Johnson problem;

D O I：

10.2478/v10309-012-0036-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Working in the context of Hilbert's axiomatic system, we prove that the Tzitzeica-Johnson configuration has sense in neutral geometry. The elements of a Tzitzeica-Johnson configuration allow us to analyse the Euclidean or the non-Euclidean character of the metric of the plane.

引用

页码：21 / 26

页数：6

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