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Results tagged with orbifolds
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user 3377
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
0
votes
Moduli space of complex and anti-complex tori?
For $d$ odd these two components are disconnected, because $I$ and $-I$ induce opposite orientation. For $d$ even, you have an involution, which takes a lattice to a complex conjugate lattice. This in …
- 9,237