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- W2963256033 startingPage "2479" @default.
- W2963256033 abstract "A real Bott manifold is the total space of iterated RP^1 bundles starting with a point, where each RP^1 bundle is projectivization of a Whitney sum of two real line bundles. We prove that two real Bott manifolds are diffeomorphic if their cohomology rings with Z/2 coefficients are isomorphic. A real Bott manifold is a real toric manifold and admits a flat riemannian metric invariant under the natural action of an elementary abelian 2-group. We also prove that the converse is true, namely a real toric manifold which admits a flat riemannian metric invariant under the action of an elementary abelian 2-group is a real Bott manifold." @default.
- W2963256033 created "2019-07-30" @default.
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- W2963256033 date "2009-12-13" @default.
- W2963256033 modified "2023-10-16" @default.
- W2963256033 title "Cohomological rigidity of real Bott manifolds" @default.
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- W2963256033 doi "https://doi.org/10.2140/agt.2009.9.2479" @default.
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