1210.3056 (Ilka Agricola et al.)

Sp(3) structures on 14-dimensional manifolds    [PDF]

Ilka Agricola, Thomas Friedrich, Jos Höll

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.

View original: http://arxiv.org/abs/1210.3056