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This article is cited in 8 scientific papers (total in 8 papers)
$G_2$-holonomy metrics connected with a 3-Sasakian manifold
Ya. V. Bazaikina, E. G. Malkovichb a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University
Abstract:
We construct complete noncompact Riemannian metrics with $G_2$-holonomy on noncompact orbifolds that are $\mathbb R^3$-bundles with the twistor space $\mathscr Z$ as a spherical fiber.
Keywords:
exceptional holonomy group, 3-Sasakian manifold, twistor space.
Received: 30.03.2007
Citation:
Ya. V. Bazaikin, E. G. Malkovich, “$G_2$-holonomy metrics connected with a 3-Sasakian manifold”, Sibirsk. Mat. Zh., 49:1 (2008), 3–7; Siberian Math. J., 49:1 (2008), 1–4
Linking options:
https://www.mathnet.ru/eng/smj1818 https://www.mathnet.ru/eng/smj/v49/i1/p3
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