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 × seem to be quite natural, and have been previously studied by the first named author in [32]. The present paper is devote...
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| Veröffentlicht in: | Complex manifolds (Warsaw, Poland) Poland), 2019-01, Vol.6 (1), p.138-149 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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
×
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
, Spin(7), Spin(9) of
-structures on
×
, respectively with
+ 2
− 1 = 7, 8, 16 and related with octonionic geometry. |
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| ISSN: | 2300-7443 2300-7443 |
| DOI: | 10.1515/coma-2019-0007 |