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15
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Symplectic manifolds and almost complex structures

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#almost-complex
107
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Proving $\Bbb{H\otimes_R C }\cong M_2(\Bbb{C})$ versus proving $\Bbb{H\otimes_R C }\cong_{\mathbb R} M_2(\Bbb{C}).$

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#linear-algebra #abstract-algebra #tensor-products #quaternions #almost-complex
563
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An almost complex structure on the real 2-sphere $S^2$

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#algebraic-geometry #reference-request #complex-geometry #real-algebraic-geometry #almost-complex
271
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Proof that Nijenhuis Tensor is a Tensor

Published on
#tensors #symplectic-geometry #symplectic-linear-algebra #almost-complex
187
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Tensor product of complexification

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#linear-algebra #exterior-algebra #almost-complex
119
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Almost complex structure invariant by hamiltonian action

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#symplectic-geometry #symplectic-linear-algebra #almost-complex
132
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Almost complex structure on a contractible manifold

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#algebraic-topology #smooth-manifolds #complex-geometry #almost-complex
94
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Regular Value theorem for Complex submanifolds of an Almost complex submanifold

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#differential-geometry #solution-verification #almost-complex
267
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Orientation and almost complex structures

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#differential-geometry #symplectic-geometry #orientation #almost-complex
147
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The action of $\text{GL}(V)$ on the set of complex structures of $V$ is transitive

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#group-theory #vector-spaces #complex-geometry #group-actions #almost-complex
704
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Relation between symplectic manifolds and (almost) complex manifolds

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#reference-request #complex-geometry #symplectic-geometry #complex-manifolds #almost-complex
685
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Motivation for the Nijenhuis tensor

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#complex-geometry #motivation #almost-complex
56
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Equivalent definitions of almost quaternionic structures

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#differential-geometry #quaternions #principal-bundles #almost-complex
45
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Canonical isomorphism from $\Lambda^{(p,q)} (V \otimes \mathbb{C})$ to $\Lambda^{p+q} (V \otimes \mathbb{C})$

Published on
#differential-forms #complex-geometry #complex-manifolds #almost-complex
99
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The identification of $iX$ with $JX$

Published on
#complex-geometry #almost-complex #holomorphic-bundles

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