Parallel forms, co-K\"ahler Manifolds and their Models
Differential Geometry
2016-09-27 v1 Algebraic Topology
Abstract
We show how certain topological properties of co-K\"ahler manifolds derive from those of the K\"ahler manifolds which construct them. In particular, we show that the existence of parallel forms on a co-K\"ahler manifold reduces the computation of cohomology from the de Rham complex to certain amenable sub-cdga's defined by geometrically natural operators derived from the co-K\"ahler structure. This provides a simpler proof of the formality of the foliation minimal model in this context.
Cite
@article{arxiv.1609.07880,
title = {Parallel forms, co-K\"ahler Manifolds and their Models},
author = {Giovanni Bazzoni and Gregory Lupton and John Oprea},
journal= {arXiv preprint arXiv:1609.07880},
year = {2016}
}
Comments
10 pages, no figures. Previously a part of arXiv:1311.5675