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Results tagged with differential-topology
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user 36502
The study of differentiable manifolds and differentiable maps. One fundamental problem is that of classifying manifolds up to diffeomorphism. Differential topology is what Poincaré understood as topology or “analysis situs”.
2
votes
Spin structures and divisibility of cohomology classes
I think your last sentence/question is not well posed. It is well known that there are flat manifolds admitting plenty of non-flat vector bundles. E.g. see J. Smillie, "Flat manifolds with non-zero Eu …
- 523
9
votes
Accepted
Lorentzian metrics on the torus up to continuos deformations
Yes those are already all different metrics. Since the tangent bundle of the 2-torus $\mathbb{T}^2$ is trivial you have a correspondence between the set of homotopy classes of maps $\mathbb{T}^2\to\ma …
- 523