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Matematicheskie Zametki, 2013, Volume 93, Issue 1, Pages 104–110
DOI: https://doi.org/10.4213/mzm10134 (Mi mzm10134) 		 
A Note on the Construction of Complex and Quaternionic Vector Fields on Spheres

M. Obiedat

Gallaudet University
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DOI: https://doi.org/10.4213/mzm10134
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 $3$.
Keywords: complex vector field, quaternionic vector field, realification function, complexification function, James numbers.
Received: 17.01.2011
English version:
Mathematical Notes, 2013, Volume 93, Issue 1, Pages 151–157
DOI: https://doi.org/10.1134/S0001434613010148
Bibliographic databases:
Document Type: Article
UDC: 515.164.332
Language: Russian
Citation: M. Obiedat, “A Note on the Construction of Complex and Quaternionic Vector Fields on Spheres”, Mat. Zametki, 93:1 (2013), 104–110; Math. Notes, 93:1 (2013), 151–157
Citation in format AMSBIB
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