Ya. V. Bazaikin, E. G. Malkovich, “<nobr>$G_2$</nobr>-holonomy metrics connected with a 3-Sasakian manifold”, Sibirsk. Mat. Zh., 2008, Volume 49, Number 1,Pages <nobr>3

This article is cited in 8 papers

$G_2$-holonomy metrics connected with a 3-Sasakian manifold

Ya. V. Bazaikin^a, E. G. Malkovich^b

^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.

UDC: 514.763.3

Received: 30.03.2007