Metric kinematic planes and their representation by ν-local systems

Helmut Karzel; Kay Sörensen

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Metric kinematic planes and their representation by ν-local systems

机译：公制运动平面及其由ν-局部系统表示

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Planes with a regularly operating commutative group and with reflections on the lines through a distinguished point o, such that the 3-reflection theorem is valid for any three lines through o, are characterized algebraically as subplanes of locally euclidean planes. A slight weakening of the conditions yields to locally pseudo euclidean planes.

机译：具有规则操作的可交换群并且在通过一个显着点o的直线上发生反射的平面被代数表征为局部欧几里德平面的子平面，这样该3反射定理对于通过o的任何三条直线都有效。条件的轻微减弱会产生局部伪欧几里德平面。

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来源
《Journal of Geometry》 |2011年第2期|p.85-103|共19页
作者
Helmut Karzel; Kay Sörensen;
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作者单位

Zentrum Mathematik, Technische Universität München, 80290, Munich, Germany;

Zentrum Mathematik, Technische Universität München, 80290, Munich, Germany;

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原文格式 PDF
正文语种 eng
中图分类
关键词
51F05; 17A45; Absolute plane; (pseudo) Rectangular plane; (locally) (pseudo) Euclidean plane; Lotkerngeometrie; ν-Local system; Metric ν-local algebra; Kinematic algebra;

机译：51F05;17A45;绝对平面;（伪）矩形平面;（局部）（伪）欧氏平面;Lotkerngeometrie;ν-局部系统;度量ν-局部代数;运动代数;

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Metric kinematic planes and their representation by ν-local systems

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