Parallelizations on products of spheres and octonionic geometry
A classical theoremof Kervaire states that products of spheres are parallelizable if and only if at least one of the factors has odd dimension. Two explicit parallelizations on Sm × S2h−1 seem to be quite natural, and have been previously studied by the first named author in [32]. The present paper...
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| Main Authors: | , |
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| Format: | article |
| Language: | EN |
| Published: |
De Gruyter
2019
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| Subjects: | |
| Online Access: | https://doaj.org/article/ddca1e222d384027b5122b50db3c592c |
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| Summary: | A classical theoremof Kervaire states that products of spheres are parallelizable if and only if at least one of the factors has odd dimension. Two explicit parallelizations on Sm × S2h−1 seem to be quite natural, and have been previously studied by the first named author in [32]. The present paper is devoted to the three choices G = G2, Spin(7), Spin(9) of G-structures on Sm × S2h−1, respectively with m + 2h − 1 = 7, 8, 16 and related with octonionic geometry. |
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