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math.DG2020
Almost Hermitian Identities
Joana Cirici, Scott O. Wilson
We study the local commutation relation between the Lefschetz operator and the exterior differential on an almost complex manifold with a compatible metric. The identity that we ob…
math.DG2018
Topological and geometric aspects of almost Kähler manifolds via harmonic theory
Joana Cirici, Scott O. Wilson
The well-known Kähler identities naturally extend to the non-integrable setting. This paper deduces several geometric and topological consequences of these extended identities for…