List questions from almost-complex

Published on 18 Aug 2015 - 1:20

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Does $\Bbb{CP}^{2n} \mathbin{\#} \Bbb{CP}^{2n}$ ever support an almost complex structure?

Published on 28 Aug 2015 - 20:57

419

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almost complex embedding of $S^2$ and $S^6$ into $\mathbb{C}^N$

Published on 04 Sep 2015 - 8:59

379

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Is any 2$m$-dimensional manifold almost complex?

Published on 12 Sep 2015 - 9:49

299

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what are fundamental groups of (almost) complex manifolds?

Published on 21 Sep 2015 - 13:10

202

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Curvature identity on Nearly Kähler manifolds

Published on 21 Dec 2015 - 20:13

293

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Find type of a differential form on an almost complex manifold

Published on 23 Mar 2026 - 0:31

67

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Fibration induced by an almost complex structure

Published on 12 Feb 2016 - 19:43

304

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When does contractible space of almost complex structures taming a given symplectic form $\omega$ contain an integrable compatible one?

Published on 23 Mar 2026 - 23:31

82

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Pulling back a Kähler structure on a symplectic submanifold

Published on 07 Mar 2016 - 22:02

278

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If $V$ is finite-dimensional with $J : V \to V$ such that $J^2 = -id$, then $V$ has even dimension

Published on 19 Apr 2016 - 18:30

1.7k

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Identification of the holomorphic tangent space with the real tangent space

Published on 05 Jun 2016 - 11:15

5.3k

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Almost complex manifolds are orientable

Published on 14 Mar 2026 - 6:54

76

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Trivialization of a path of tamed almost complex structures

Published on 23 Feb 2026 - 17:24

133

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Is every almost complex structure tame up to sign?

Published on 23 Feb 2026 - 17:24

List Question

Equivalence of (almost) complex structures

Does $\Bbb{CP}^{2n} \mathbin{\#} \Bbb{CP}^{2n}$ ever support an almost complex structure?

almost complex embedding of $S^2$ and $S^6$ into $\mathbb{C}^N$

Is any 2$m$-dimensional manifold almost complex?

what are fundamental groups of (almost) complex manifolds?

Curvature identity on Nearly Kähler manifolds

Find type of a differential form on an almost complex manifold

Fibration induced by an almost complex structure

When does contractible space of almost complex structures taming a given symplectic form $\omega$ contain an integrable compatible one?

Pulling back a Kähler structure on a symplectic submanifold

If $V$ is finite-dimensional with $J : V \to V$ such that $J^2 = -id$, then $V$ has even dimension

Identification of the holomorphic tangent space with the real tangent space

Almost complex manifolds are orientable

Trivialization of a path of tamed almost complex structures

Is every almost complex structure tame up to sign?

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