Geometry of Centroaffine Surfaces in R5

被引：0
|
作者：
Bushek, Nathaniel [1 ]
Clelland, Jeanne N. [2 ]
机构：
[1] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA
[2] Univ Colorado, Dept Math, Boulder, CO 80309 USA
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2015年 / 11卷
关键词：
centroaffine geometry; Cartan's method of moving frames; IMMERSIONS; HYPERSURFACES; CODIMENSION-2;
D O I：
10.3842/SIGMA.2015.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in R-5 \ {0} with nondegenerate centroaffine metric. We then give a complete classification of all homogeneous centroaffine surfaces in this class.
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页数：24
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