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Article

Almost Hermitian Identities

1
Department of Mathematics and Computer Science, Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain
2
Department of Mathematics, Queens College, City University of New York, 65-30 Kissena Blvd., Flushing, NY 11367, USA
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(8), 1357; https://doi.org/10.3390/math8081357
Received: 30 July 2020 / Revised: 10 August 2020 / Accepted: 11 August 2020 / Published: 13 August 2020
(This article belongs to the Special Issue Inequalities in Geometry and Applications)
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. View Full-Text
Keywords: almost Hermitian manifolds; Kähler identities; Lefschetz operator almost Hermitian manifolds; Kähler identities; Lefschetz operator
MDPI and ACS Style

Cirici, J.; Wilson, S.O. Almost Hermitian Identities. Mathematics 2020, 8, 1357. https://doi.org/10.3390/math8081357

AMA Style

Cirici J, Wilson SO. Almost Hermitian Identities. Mathematics. 2020; 8(8):1357. https://doi.org/10.3390/math8081357

Chicago/Turabian Style

Cirici, Joana, and Scott O. Wilson. 2020. "Almost Hermitian Identities" Mathematics 8, no. 8: 1357. https://doi.org/10.3390/math8081357

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