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Almost Hermitian Identities

Author

Listed:
  • 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)

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.

Suggested Citation

  • Joana Cirici & Scott O. Wilson, 2020. "Almost Hermitian Identities," Mathematics, MDPI, vol. 8(8), pages 1-8, August.
  • Handle: RePEc:gam:jmathe:v:8:y:2020:i:8:p:1357-:d:398473
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