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15
258
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A complex orthonormal basis induces a real orthonormal basis

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#vector-spaces #inner-products #orthogonality #orthonormal #almost-complex
269
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Riemannian metric of a Kähler manifold

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#differential-geometry #complex-geometry #symplectic-geometry #kahler-manifolds #almost-complex
257
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Extension of compatible almost complex structures from a closed set

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#differential-geometry #differential-topology #smooth-manifolds #symplectic-geometry #almost-complex
275
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Existence of Complex Frames on a Complex Vector Bundle

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#differential-geometry #algebraic-geometry #complex-geometry #vector-bundles #almost-complex
185
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Confusion on the definition of a complex structure

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#complex-geometry #almost-complex
64
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Global $\omega$-compactible complex structure on symplectic manifold

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#symplectic-geometry #symplectic-linear-algebra #almost-complex
97
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multiplicative extension of the almost complex structure $I$

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#linear-algebra #complex-analysis #differential-geometry #almost-complex
127
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Integrable connections and holomorphic structures

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#differential-geometry #complex-geometry #vector-bundles #almost-complex
63
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An explicit relation betwen Riemannian metric and an associated Hermitian metric?

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#differential-geometry #complex-geometry #kahler-manifolds #almost-complex
88
Views

Restrictions on coordinate basis of $T_pM$ required for a manifold to admit a Hermitian metric?

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#differential-geometry #complex-geometry #kahler-manifolds #complex-manifolds #almost-complex
117
Views

Transform Fourier of paths in symplectic vector spaces

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#fourier-analysis #fourier-series #symplectic-geometry #symplectic-linear-algebra #almost-complex
88
Views

Bundle isomorphisms for $J$-holomorphic tangent bundle

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#vector-bundles #symplectic-geometry #almost-complex
119
Views

$U(2)$ fixes Orthogonal Complex Structures on $\mathbb{R}^4$?

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#differential-geometry #lie-groups #complex-geometry #almost-complex
62
Views

Conditions on space of smooth almost complex structures so that it's a banach manifold

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#differential-geometry #banach-spaces #symplectic-geometry #almost-complex
228
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Equivalence between two definitions of Complex Tangent Space

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#complex-analysis #complex-geometry #vector-bundles #tangent-spaces #almost-complex

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