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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Bibliographic Details
Main Authors: Parton Maurizio, Piccinni Paolo
Format: Article
Language:English
Published: De Gruyter 2019-01-01
Series:Complex Manifolds
Subjects:
g2
Online Access:https://doi.org/10.1515/coma-2019-0007