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arxiv: math/0204352 · v2 · submitted 2002-04-30 · 🧮 math.DG · math.AT

Diffeomorphism type of the Berger space

classification 🧮 math.DG math.AT
keywords bergerspaceanswersbundlecomputedeterminediffeomorphicdiffeomorphism
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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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