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

Mathematics – Differential Geometry

Scientific paper

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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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