$G_2$-Holonomy Metrics Connected with a 3-Sasakian Manifold

Details $G_2$-Holonomy Metrics Connected with a 3-Sasakian Manifold $G_2$-Holonomy Metrics Connected with a 3-Sasakian Manifold

2008-04-14

arxiv.org/abs/0804.2131v1

Siberian Mathematical Journal, 49 (2008),N.1. P.1-4

Mathematics

Differential Geometry

5 pages

Scientific paper

We construct complete noncompact Riemannian metrics with $G_2$-holonomy on
noncompact orbifolds that are $\Bbb R^3$-bundles with the twistor space
$\mathcal{Z}$ as a spherical fiber.

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