List questions from kahler-manifolds

Published on 25 Mar 2026 - 3:02

588

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Does every almost complex manifold admit an almost-Kähler structure?

Published on 17 Mar 2026 - 5:01

382

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Does every possible Kähler metric on a projective variety arise from the Fubini-Study metric for some embedding?

Published on 01 Sep 2018 - 22:36

351

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Size and shape moduli of Calabi-Yau manifolds

Published on 23 Mar 2026 - 0:58

417

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The Fubini-Study metric $ \omega_{ \mathrm{FS} } $ on the projective space $ \mathbb{P}^1 $

Published on 18 Sep 2018 - 13:33

361

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Are Hodge numbers topological invariants for manifolds that admit a Kähler structure?

Published on 18 Sep 2018 - 17:12

341

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Can a complex manifold that is not a Calabi-Yau manifold be homeomorphic to a Calabi-Yau manifold?

Published on 23 Feb 2026 - 10:22

188

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Is the Calabi-Yau property of a smooth manifold a differential invariant?

Published on 19 Mar 2026 - 16:22

141

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Equivalent definitions of Hyperkahler manifolds.

Published on 27 Sep 2018 - 4:06

84

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Why is the primitive cohomology real?

Published on 02 Oct 2018 - 17:00

59

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Smooth automorphism preserves the Kähler class?

Published on 22 Oct 2018 - 18:32

208

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Proposition $4.16$ from Ballmann's Lectures on Kähler Manifolds

Published on 23 Nov 2018 - 19:22

97

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The homomorphism induced by holomorphic map preserves Hodge decomposition

Published on 10 Dec 2018 - 2:41

64

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Condition for $(1,1)$-classes on complex tori

Published on 10 Dec 2018 - 22:24

210

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Connection $1$-form acting on vector fields

Published on 25 Mar 2026 - 3:24

List Question

Software for computation of Ricci tensor on a Kähler manifold

Does every almost complex manifold admit an almost-Kähler structure?

Does every possible Kähler metric on a projective variety arise from the Fubini-Study metric for some embedding?

Size and shape moduli of Calabi-Yau manifolds

The Fubini-Study metric $ \omega_{ \mathrm{FS} } $ on the projective space $ \mathbb{P}^1 $

Are Hodge numbers topological invariants for manifolds that admit a Kähler structure?

Can a complex manifold that is not a Calabi-Yau manifold be homeomorphic to a Calabi-Yau manifold?

Is the Calabi-Yau property of a smooth manifold a differential invariant?

Equivalent definitions of Hyperkahler manifolds.

Why is the primitive cohomology real?

Smooth automorphism preserves the Kähler class?

Proposition $4.16$ from Ballmann's Lectures on Kähler Manifolds

The homomorphism induced by holomorphic map preserves Hodge decomposition

Condition for $(1,1)$-classes on complex tori

Connection $1$-form acting on vector fields

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