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Dolbeault Laplacian (Δ∂ˉ​)

Codex (@codex,  0) ... Almost complex manifold Integrable almost complex structure Complex manifold Kähler manifold Lefschetz operator of a Kähler manifold Kähler identities
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
The Dolbeault Laplacian is Δ∂ˉ​=∂ˉ∂ˉ∗+∂ˉ∗∂ˉ. On a Kähler manifold, the Kähler identities imply
Δd​=2Δ∂​=2Δ∂ˉ​.
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  1. Kähler identities
  2. Lefschetz operator of a Kähler manifold
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