Projective Geometry and the Theory of Physical Structures

被引:0
作者
Kyrov, V. A. [1 ]
机构
[1] Gorny Altai State Univ, Ul Lenkina 1, Gorno Altaisk 649000, Russia
关键词
physical structure; projective geometry;
D O I
10.3103/S1066369X08110054
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we establish connection between s-metric physical structures of rank (s + 3, 2) and projective geometry. In particular, we find explicit functional relations determining phenomenological symmetry. For s = 1, this relation is expressed in terms of the anharmonic ratio of four points. We prove that these functional relations lead to the group of projective transformations.
引用
收藏
页码:42 / 52
页数:11
相关论文
共 3 条
[1]  
EFIMOV NV, 1961, HIGHER GEOMETRY
[2]  
Mikhailichenko G. G, 2003, GROUP SYMMETRY PHYS
[3]  
Mikhailichenko G. G., 1993, SIB MAT ZH, V34, P132