List questions from almost-complex

Published on 25 Mar 2026 - 20:41

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

Published on 25 Mar 2026 - 20:41

420

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

Published on 25 Mar 2026 - 22:03

380

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

Published on 26 Mar 2026 - 1:01

300

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what are fundamental groups of (almost) complex manifolds?

Published on 25 Mar 2026 - 22:03

206

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Curvature identity on Nearly Kähler manifolds

Published on 16 Apr 2026 - 21:58

297

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Find type of a differential form on an almost complex manifold

Published on 27 Apr 2026 - 13:32

68

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Fibration induced by an almost complex structure

Published on 25 Mar 2026 - 22:07

305

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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 29 Mar 2026 - 19:18

83

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Pulling back a Kähler structure on a symplectic submanifold

Published on 26 Mar 2026 - 19:41

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

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Identification of the holomorphic tangent space with the real tangent space

Published on 27 Apr 2026 - 23:44

5.3k

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Almost complex manifolds are orientable

Published on 29 Apr 2026 - 7:29

77

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Trivialization of a path of tamed almost complex structures

Published on 11 Apr 2026 - 18:42

134

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Is every almost complex structure tame up to sign?

Published on 11 Apr 2026 - 18:37

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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