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Almost complex structures as particular maps

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#notation #almost-complex
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An almost complex structure on real 2-dimensional manifold

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#manifolds #complex-geometry #almost-complex
345
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Non-standard complex structure on $\mathbb R^{2n}$

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#lie-groups #almost-complex
354
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Skew-symmetric operators on almost complex symplectic vector spaces

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#symplectic-linear-algebra #almost-complex
212
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$(1,0)$-forms on a complex manifold

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#differential-geometry #complex-geometry #differential-forms #complex-manifolds #almost-complex
476
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Vanishing of Nijenhuis tensor given complex linearity?

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#complex-geometry #almost-complex
202
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Almost complex structure which fails to be compatible

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#linear-algebra #differential-geometry #complex-geometry #multilinear-algebra #almost-complex
130
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Every complex manifold is almost complex

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#complex-manifolds #almost-complex
70
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Advantage in considering an almost complex structure

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#differential-geometry #riemannian-geometry #smooth-manifolds #complex-geometry #almost-complex
127
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Complex and Conformal structure on a trivial tangent bundle of a higher dimensional manifold

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#differential-geometry #complex-geometry #almost-complex
813
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What does it mean for an almost complex structure to be compatible with a Riemannian metric?

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#differential-geometry #riemannian-geometry #almost-complex
56
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Extending an $\omega$-tame complex structure

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#symplectic-geometry #almost-complex
278
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Nonstandard definitions of complexifications

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#linear-algebra #abstract-algebra #tensor-products #complex-geometry #almost-complex
497
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Infinite dimensional vector space has almost complex structure if and only if it is 'even-dimensional'?

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#linear-algebra #abstract-algebra #complex-analysis #complex-geometry #almost-complex
245
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Is there a notion that $0 + \mathbb Ri$ or $\mathbb R + 0i$ has an 'internal complexification' equal to 'external complexification' of $\mathbb R$?

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#linear-algebra #abstract-algebra #complex-analysis #complex-geometry #almost-complex

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