A Note on the Construction of Complex and Quaternionic Vector Fields on Spheres
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 (4n-1)-sphere is shown to be twice the number of linearly independent quaternionic vector fields plus d, where d = 1 or 3.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.