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arXiv · 1210.3056

Sp(3) structures on 14-dimensional manifolds

Ilka Agricola·Thomas Friedrich·Jos Höll
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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.

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Ilka Agricola, Thomas Friedrich, Jos Höll. 2012-10-10. Sp(3) structures on 14-dimensional manifolds. https://doi.org/10.1016/j.geomphys.2013.02.010

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