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Results tagged with smooth-manifolds
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user 51164
Smooth manifolds and smooth functions between them. For manifolds with additional structure, see more specific tags, such as [riemannian-geometry]. For more topological aspects, see [differential-topology].
9
votes
Accepted
Automorphism group of a fiber bundle surjects onto diffeomorphism group?
Any fiber bundle $\pi:P \longrightarrow M$ with fiber $F$ is classified by a map $f_{\pi}: M \longrightarrow B Diff(F)$ where $B Diff(F)$ is the classifying space of the diffeomorphism group of $F$. I …
- 9,491
9
votes
0
answers
151
views
When does a cobordism factorize the sphere?
Let $W: \emptyset \Rightarrow M$ be a smooth cobordism from $\emptyset$ to a smooth closed $n$-manifold $M$. Are there reasonably simple conditions on $W$ which guarantee the existence of another cobo …
- 9,491