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Arnold′s Projective Plane and r ‐Matrices
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.
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| Published in: | Advances in mathematical physics 2010-01, Vol.2010 (1) |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Citations: | Items that this one cites |
| Online Access: | Get full text |
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| Summary: | 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. |
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| ISSN: | 1687-9120 1687-9139 |
| DOI: | 10.1155/2010/956128 |