Pulling back the Gromoll-Meyer construction and models of exotic spheres-Reference-Cited by-同舟云学术

Pulling back the Gromoll-Meyer construction and models of exotic spheres

Published:2015-10-22 Issue:7 Volume:144 Page:3181-3196
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Sperança L.

Abstract

The Gromoll-Meyer construction of an exotic 7-sphere is generalized by producing geometric models of exotic 8-, 10- and Kervaire spheres as quotients of principal bundles over spheres. Also, using the geometry of their geodesics, the group structure of homotopy 8-spheres is explicitly presented.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2016-144-07/S0002-9939-2015-12945-0/S0002-9939-2015-12945-0.pdf

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