Parallelizations on products of spheres and octonionic geometry-Reference-Cited by-同舟云学术

Parallelizations on products of spheres and octonionic geometry

Published:2019-01-01 Issue:1 Volume:6 Page:138-149
ISSN:2300-7443
Container-title:Complex Manifolds
language:
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Author:

Parton Maurizio¹,Piccinni Paolo²

Affiliation:

1. Dipartimento di Economia, Università di Chieti-Pescara, Viale della Pineta 4, I-65129Pescara, Italy

2. Dipartimento di Matematica, Sapienza—Università di Roma, Piazzale Aldo Moro 2, I-00185Roma, Italy

Abstract

AbstractA 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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/downloadpdf/journals/coma/6/1/article-p138.xml

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