Almost Hermitian Identities
Differential Geometry
2020-08-12 v1
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 K\"ahler identities to the setting of almost Hermitian manifolds, allowing for new global results for such manifolds.
Cite
@article{arxiv.2008.04390,
title = {Almost Hermitian Identities},
author = {Joana Cirici and Scott O. Wilson},
journal= {arXiv preprint arXiv:2008.04390},
year = {2020}
}