Diffeomorphism type of the Berger space

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We compute the Eells-Kuiper invariant of the Berger manifold SO(5)/SO(3) and determine that it is diffeomorphic to the total space of an S^3-bundle over S^4. This answers a question raised by K. Grove and W. Ziller.
LaTeX, 17 pages. v2: proofs of corollaries added

Keywords

Differential Geometry, Algebraic Topology, 57R20 (primary); 53C30, 57S25, 55R25 (secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/132484

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0204352
 http://arxiv.org/abs/math/0204352
 Amer. J. Math. 126 (2004), 395-416

Collections

arXiv