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Questions tagged [dg.differential-geometry]

Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

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11 votes
2 answers
302 views
+500

Cohomology of foliations and closed forms along the leaves

Let $M$ be a manifold equipped with a codimension one, transversely orientable, regular foliation $F \subset M$. Let $\alpha\in \Omega^k(M)$ be a differential form on $M$ that is not closed on $M$ ...
Bilateral's user avatar
  • 2,816
0 votes
0 answers
86 views
+100

Uniqueness of bubbling points in Struwe's global compactness theorem

I am reading the following paper of Struwe in which he proves the following result: Proposition 2.1: Let $n\geq 3$, $\lambda \in \mathbb{R}$ and $\Omega$ be a smoothly bounded domain in $\mathbb{R}^{n}...
Student's user avatar
  • 537
8 votes
0 answers
229 views
+300

Maps with small fibers between manifolds of equal dimension

The following question is an attempt to revise this one into what I intended. Important revisions are shown in bold. Are there any known examples of a compact Riemannian manifold $M$ with (possibly ...
Matthew Kvalheim's user avatar