List questions from almost-complex

Published on 01 Mar 2021 - 20:21

106

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Proving $\Bbb{H\otimes_R C }\cong M_2(\Bbb{C})$ versus proving $\Bbb{H\otimes_R C }\cong_{\mathbb R} M_2(\Bbb{C}).$

Published on 12 Mar 2021 - 9:20

563

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An almost complex structure on the real 2-sphere $S^2$

Published on 25 Mar 2026 - 18:52

270

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Proof that Nijenhuis Tensor is a Tensor

Published on 23 Feb 2026 - 22:56

184

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Tensor product of complexification

Published on 29 Apr 2021 - 19:51

118

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Almost complex structure invariant by hamiltonian action

Published on 23 Feb 2026 - 22:54

131

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Almost complex structure on a contractible manifold

Published on 09 May 2021 - 2:21

93

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Regular Value theorem for Complex submanifolds of an Almost complex submanifold

Published on 10 May 2021 - 22:08

266

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Orientation and almost complex structures

Published on 18 May 2021 - 13:47

146

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The action of $\text{GL}(V)$ on the set of complex structures of $V$ is transitive

Published on 21 May 2021 - 20:13

703

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Relation between symplectic manifolds and (almost) complex manifolds

Published on 22 May 2021 - 19:53

684

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Motivation for the Nijenhuis tensor

Published on 25 May 2021 - 17:55

55

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Equivalent definitions of almost quaternionic structures

Published on 10 Jun 2021 - 6:18

44

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Canonical isomorphism from $\Lambda^{(p,q)} (V \otimes \mathbb{C})$ to $\Lambda^{p+q} (V \otimes \mathbb{C})$

Published on 26 Jun 2021 - 19:46

99

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The identification of $iX$ with $JX$

Published on 25 Mar 2026 - 20:42

List Question

Symplectic manifolds and almost complex structures

Proving $\Bbb{H\otimes_R C }\cong M_2(\Bbb{C})$ versus proving $\Bbb{H\otimes_R C }\cong_{\mathbb R} M_2(\Bbb{C}).$

An almost complex structure on the real 2-sphere $S^2$

Proof that Nijenhuis Tensor is a Tensor

Tensor product of complexification

Almost complex structure invariant by hamiltonian action

Almost complex structure on a contractible manifold

Regular Value theorem for Complex submanifolds of an Almost complex submanifold

Orientation and almost complex structures

The action of $\text{GL}(V)$ on the set of complex structures of $V$ is transitive

Relation between symplectic manifolds and (almost) complex manifolds

Motivation for the Nijenhuis tensor

Equivalent definitions of almost quaternionic structures

Canonical isomorphism from $\Lambda^{(p,q)} (V \otimes \mathbb{C})$ to $\Lambda^{p+q} (V \otimes \mathbb{C})$

The identification of $iX$ with $JX$

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