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Keywords = Kähler identities

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8 pages, 235 KiB  
Article
Almost Hermitian Identities
by Joana Cirici and Scott O. Wilson
Mathematics 2020, 8(8), 1357; https://doi.org/10.3390/math8081357 - 13 Aug 2020
Cited by 6 | Viewed by 2556
Abstract
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 obtain generalizes the backbone of the local Kähler identities to the setting of almost Hermitian manifolds, [...] Read more.
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 obtain generalizes the backbone of the local Kähler identities to the setting of almost Hermitian manifolds, allowing for new global results for such manifolds. Full article
(This article belongs to the Special Issue Inequalities in Geometry and Applications)
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