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.

引用

页数：24

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