Complete Riemannian $G_2$ Holonomy Metrics on Deformations of Cones over $S^3\times S^3$

Ya. V. Bazaikin, O. A. Bogoyavlenskaya

Complete Riemannian metrics with holonomy group $G_2$ are constructed on the manifolds obtained by deformations of cones over $S^3\times S^3$.