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15
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Software for computation of Ricci tensor on a Kähler manifold

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#differential-geometry #math-software #kahler-manifolds
592
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Does every almost complex manifold admit an almost-Kähler structure?

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#differential-geometry #complex-geometry #kahler-manifolds #almost-complex
385
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Does every possible Kähler metric on a projective variety arise from the Fubini-Study metric for some embedding?

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#algebraic-geometry #complex-geometry #kahler-manifolds
359
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Size and shape moduli of Calabi-Yau manifolds

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#complex-geometry #kahler-manifolds #moduli-space #string-theory
420
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The Fubini-Study metric $ \omega_{ \mathrm{FS} } $ on the projective space $ \mathbb{P}^1 $

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#homology-cohomology #complex-geometry #projective-space #kahler-manifolds
365
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Are Hodge numbers topological invariants for manifolds that admit a Kähler structure?

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#algebraic-geometry #algebraic-topology #complex-geometry #kahler-manifolds #hodge-theory
349
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Can a complex manifold that is not a Calabi-Yau manifold be homeomorphic to a Calabi-Yau manifold?

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#algebraic-geometry #complex-geometry #kahler-manifolds #complex-manifolds #k3-surfaces
196
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Is the Calabi-Yau property of a smooth manifold a differential invariant?

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#algebraic-geometry #complex-geometry #kahler-manifolds #complex-manifolds #k3-surfaces
144
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Equivalent definitions of Hyperkahler manifolds.

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#differential-geometry #symplectic-geometry #connections #kahler-manifolds
88
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Why is the primitive cohomology real?

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#homology-cohomology #complex-geometry #kahler-manifolds
62
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Smooth automorphism preserves the Kähler class?

Published on
#surfaces #complex-geometry #kahler-manifolds
211
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Proposition $4.16$ from Ballmann's Lectures on Kähler Manifolds

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#differential-geometry #smooth-manifolds #complex-geometry #kahler-manifolds
101
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The homomorphism induced by holomorphic map preserves Hodge decomposition

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#complex-geometry #kahler-manifolds #hodge-theory
68
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Condition for $(1,1)$-classes on complex tori

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#algebraic-geometry #complex-geometry #kahler-manifolds
216
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Connection $1$-form acting on vector fields

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#differential-geometry #connections #principal-bundles #kahler-manifolds

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