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标题：Arnold's Projective Plane and <svg style="vertical-align:-0.0pt;width:9.2749996px;" id="M1" height="10.0125" version="1.1" viewBox="0 0 9.2749996 10.0125" width="9.2749996" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.0125)"> <g transform="translate(72,-63.99)"> <text transform="matrix(1,0,0,-1,-71.95,64.04)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝑟</tspan> </text> </g> </g> </svg>-Matrices
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作者：K. Uchino
期刊名称：Advances in Mathematical Physics
印刷版ISSN：1687-9120
电子版ISSN：1687-9139
出版年度：2010
卷号：2010
DOI：10.1155/2010/956128
出版社：Hindawi Publishing Corporation
摘要：We will explain Arnold's 2-dimensional (shortly, 2D) projective geometry (Arnold, 2005) by means of lattice theory. It will be shown that the projection of the set of nontrivial triangular 𝑟-matrices is the pencil of tangent lines of a quadratic curve on Arnold's projective plane.