New posts in almost-complex

Identification of the holomorphic tangent space with the real tangent space

complex-geometry tangent-spaces complex-manifolds almost-complex

$2$ out of $3$ property of the unitary group

multilinear-algebra symplectic-linear-algebra almost-complex

Does every even-dimensional sphere admit an almost complex structure?

algebraic-topology differential-topology almost-complex

Almost complex structures on spheres

differential-geometry complex-geometry almost-complex

If subspace $A$ is the fixed points of an involution $\sigma$, then is $K(A)$ the fixed points of $-\sigma$?

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

Eigenvalues and eigenspaces of almost complex structures under each other [closed]

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

Confusion on the definition of a complex structure

complex-geometry almost-complex

An almost complex structure on real 2-dimensional manifold

manifolds complex-geometry almost-complex

Nonstandard definitions of complexifications

linear-algebra abstract-algebra tensor-products complex-geometry almost-complex

What's the bijection between scalar/inner products and (certain) almost complex structures (on $\mathbb R^2$)?

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

Bundle isomorphisms for $J$-holomorphic tangent bundle

vector-bundles symplectic-geometry almost-complex

Motivation for the Nijenhuis tensor

complex-geometry motivation almost-complex

Question about the Newlander-Nirenberg theorem for almost complex manifolds

differential-geometry smooth-manifolds complex-geometry almost-complex

Bijection for involutive maps and $\mathbb R$-subspaces given almost complex structure (anti-involutive)? Formula for conjugation?

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

Infinite dimensional vector space has almost complex structure if and only if it is 'even-dimensional'?

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

$f$ is the complexification of a map if $f$ commutes with almost complex structure and standard conjugation. What if we had anti-commutation instead?

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

Complexification of a map under nonstandard complexifications of vector spaces

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