A note on the construction of complex and quaternionic vector fields on spheres |
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| Authors: | M Obiedat |
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| Institution: | 19777. Gallaudet University, Washington, DC, USA
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| 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. |
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