A Note on the Construction of Complex and Quaternionic Vector Fields on Spheres
K-Theory and Homology
2016-05-31 v1
Abstract
A relationship between real, complex, and quaternionic vector fields on spheres is given by using a relationship between the corresponding standard inner products. The number of linearly independent complex vector fields on the standard -sphere is shown to be twice the number of linearly independent quaternionic vector fields plus , where .
Cite
@article{arxiv.1605.09207,
title = {A Note on the Construction of Complex and Quaternionic Vector Fields on Spheres},
author = {Mohammad Obiedat},
journal= {arXiv preprint arXiv:1605.09207},
year = {2016}
}
Comments
10 pages