| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6424569 | Topology and its Applications | 2015 | 9 Pages |
Abstract
In this paper, we investigate the real Stiefel manifolds Vk(Rn)=SO(n)/SO(nâk) for n=7 or n=8. If we identify R7 and R8 with ImC and C, respectively, then we have V2(R7)=G2/SU(2), V2(R8)=Spin(7)/SU(3), and V3(R8)=Spin(7)/SU(2). These real Stiefel manifolds can be represented as an orbit of the action of the Lie group G2 or Spin(7). In this paper, we give the orbit decompositions of Stiefel manifolds related to the octonions C under the action of Lie group G2 and Spin(7).
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Hideya Hashimoto, Misa Ohashi,