K\"{a}hler identities for almost complex manifolds
Differential Geometry
2022-08-16 v1 Algebraic Topology
Abstract
We obtain a generalization, for a general compact almost complex manifold, of the well-known K\"{a}hler (or Hodge) identities for K\"{a}hler manifolds involving the commutators of the exterior differential and the Lefschetz operator and its adjoint. The main idea is to study the problem on the Clifford bundle via the Dirac operator, and then translate the results to the exterior bundle.
Cite
@article{arxiv.2208.07276,
title = {K\"{a}hler identities for almost complex manifolds},
author = {Luis Fernandez and Samuel Hosmer},
journal= {arXiv preprint arXiv:2208.07276},
year = {2022}
}
Comments
21 pages, 2 figures