Local Geometry of Even Clifford Structures on Conformal Manifolds
Differential Geometry
2019-01-08 v1
Abstract
We introduce the concept of a Clifford-Weyl structure on a conformal manifold, which consists of an even Clifford structure parallel with respect to the tensor product of a metric connection on the Clifford bundle and a Weyl structure on the manifold. We show that the Weyl structure is necessarily closed except for some "generic" low-dimensional instances, where explicit examples of non-closed Clifford-Weyl structures can be constructed.
Keywords
Cite
@article{arxiv.1611.01665,
title = {Local Geometry of Even Clifford Structures on Conformal Manifolds},
author = {Charles Hadfield and Andrei Moroianu},
journal= {arXiv preprint arXiv:1611.01665},
year = {2019}
}
Comments
15 pages