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Results tagged with smooth-manifolds
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user 3377
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
2
answers
361
views
Smooth rank one foliations with closed leaves
Let $F$ be a smooth rank one foliation on a manifold $M$. Suppose that all leaves of $F$ are compact (that is, circles). Then its leaf space (edit: when additional assumptions are taken) is an orbifol …
- 9,237
5
votes
Smooth rank one foliations with closed leaves
The question was already answered
by Jorge Vitório Pereira, but let me
add here what I have already found.
Recall that a foliation on a Riemannian manifold
is called "Riemannian foliation"
if the rest …
- 9,237
2
votes
Holonomy group of a non-compact Kaehler manifold
Yes, the holonomy of this manifold is in $SU(n)$. Indeed, the Chern connection on the canonical bundle is flat and its holonomy preserves $\Omega$, because its curvature is $\partial\bar\partial |\Ome …
- 9,237
6
votes
0
answers
191
views
Isotopy classes of $CP^1$ in 4-manifolds
Let $S_1$, $S_2$ be homologous embedded 2-spheres
in a compact smooth 4-manifold. Under which additional
conditions are they smoothly isotopic? I am interested
in the state of the art picture when $S_ …
- 9,237