Diffeomorphism type of the Berger space

Details Diffeomorphism type of the Berger space Diffeomorphism type of the Berger space

2002-04-30

arxiv.org/abs/math/0204352v2

Amer. J. Math. 126 (2004), 395-416

Mathematics

Differential Geometry

LaTeX, 17 pages. v2: proofs of corollaries added

Scientific paper

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.

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