Almost Hermitian Identities

Almost Hermitian Identities

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...

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Hauptverfasser: Cirici, Joana, Wilson, Scott O
Format: Artikel
Sprache:eng
Schlagworte:
Estructures hermitianes
Hermitian structures
Switching theory
Teoria de la commutació
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Beschreibung
Zusammenfassung: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math8081357