# Cohomogeneity One Manifolds of Spin(7) and G2 Holonomy

@article{Cveti2002CohomogeneityOM, title={Cohomogeneity One Manifolds of Spin(7) and G2 Holonomy}, author={Mirjam Cveti{\vc} and G. W. Gibbons and H. Q. Lu and C N Pope}, journal={Annals of Physics}, year={2002} }

In this paper, we look for metrics of cohomogeneity one in D = 8 and D = 7 dimensions with Spin(7) and G2 holonomy respectively. In D = 8, we first consider the case of principal orbits that are S 7 , viewed as an S 3 bundle over S 4 with triaxial squashing of the S 3 fibres. This gives a more general system of first-order equations for Spin(7) holonomy than has been solved previously. Using numerical methods, we establish the existence of new non-singular asymptotically locally conical (ALC…

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