All Questions
8 questions with no upvoted or accepted answers
10
votes
0
answers
426
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Gromov's compactness theorem via Sacks-Uhlenbeck and Schoen-Uhlenbeck
Gromov's compactness theorem for pseudo-holomorphic curves, in section 1.5 of "Pseudoholomorphic curves in symplectic manifolds," is very well known. I'm aware of the following two proofs:
...
- 2,247
6
votes
0
answers
270
views
Varying a $J$-holomorphic sphere in a symplectic $4$-manifolds
I am certain that the following result holds, but was not able to find a reference. Do you know one? Or maybe you can give a short proof?
Statement. Let $(M^4,\omega)$ be a compact symlectic manifold ...
- 14.3k
5
votes
0
answers
174
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Are there connected closed 4-manifolds admitting a regular Almost Lagrangian distribution, and which are not Lorentzian?
In the category of real differential manifolds, connected (of $ C ^ {\infty} $ class in the sequel), closed of dimension 4, is there any manifold admitting a regular Almost Lagrangian distribution and ...
2
votes
0
answers
134
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Reference for Morse-Bott vector fields
I'm looking for a reference for the following result:
Let $X$ be a vector field on a manifold $M$ and let $C$ be a submanifold of $M$ formed by critical points of $X$. Assume that the Hessian of $X$ ...
- 1,409
2
votes
0
answers
282
views
Generalizing a result of Paul Andi Nagy
I am trying to generalizate a result of Paul Andi Nagy which says that in a almost Kähler manifold with parallel torsion we have $\langle \rho,\Phi-\Psi\rangle $ is a nonnegative number; in fact
$$
4\...
- 21
1
vote
0
answers
382
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Question in the paper of Robert Bryant "Calibrated embeddings in the special Lagrangian and coassociative cases"
Hallo,
I am trying to read the paper "Calibrated embeddings in the special Lagrangian and coassociative cases" by Robert Bryant and I have a question. I hope that maybe one of you could give me some ...
- 339
1
vote
0
answers
221
views
Co-normal bundle of orthogonal compliment
Is the following fact well known?
Let $X$ be a manifold and $V$ be a vector space. Let $E_1$ be a sub-bundle of the constant bundle $X \times V$. Let $E_2$ be its orthogonal compliment in $X \...
- 2,639
0
votes
0
answers
234
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What is the symplectic manifold whose Delzant polytope is a trapezoid?
What is the symplectic form on the manifold whose associated Delzant polytope is a trapezoid? I am trying to find it by using the Marsden–Weinstein theorem, but I have been unable to do so. If ...
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