Sp(3) structures on 14-dimensional manifolds
Differential Geometry
2013-11-05 v1 Mathematical Physics
math.MP
Abstract
The present article investigates Sp(3) structures on 14-dimensional Riemannian manifolds, a continuation of the recent study of manifolds modeled on rank two symmetric spaces (here: SU(6)/Sp(3)). We derive topological criteria for the existence of such a structure and construct large families of homogeneous examples. As a by-product, we prove a general uniqueness criterion for characteristic connections of G structures and that the notions of biinvariant, canonical, and characteristic connections coincide on Lie groups with biinvariant metric.
Keywords
Cite
@article{arxiv.1210.3056,
title = {Sp(3) structures on 14-dimensional manifolds},
author = {Ilka Agricola and Thomas Friedrich and Jos Höll},
journal= {arXiv preprint arXiv:1210.3056},
year = {2013}
}
Comments
24 pages