Almost Hermitian Identities

Joana Cirici and Scott O. Wilson
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Joana Cirici: Department of Mathematics and Computer Science, Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain
Scott O. Wilson: Department of Mathematics, Queens College, City University of New York, 65-30 Kissena Blvd., Flushing, NY 11367, USA

Mathematics, 2020, vol. 8, issue 8, 1-8

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, allowing for new global results for such manifolds.

Keywords: almost Hermitian manifolds; Kähler identities; Lefschetz operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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