A classification of Riemannian manifolds with structure group Spin (7)
- Cite this article as:
- Fernández, M. Annali di Matematica pura ed applicata (1986) 143: 101. doi:10.1007/BF01769211
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Riemannian manifolds with structure group Spin (7)are 8-dimensional and have a distinguished 4 -form. In this paper, the covariant derivative of the fundamental 4 -form is studied, and it is shown that there are precisely four classes of such manifolds.