Ya. V. Bazaikin, O. A. Bogojavlenskaja, “Complete Riemannian Metrics with Holonomy Group $G_2$ on Deformations of Cones over $S^3\times S^3$”, Mat. Zametki, 2013, Volume 93, Issue 5,Pages 645

This article is cited in 10 papers

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

Ya. V. Bazaikin, O. A. Bogojavlenskaja

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

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

Keywords: Riemannian metric, holonomy group $G_2$, metric on cones over $S^3 \times S^3$, vector bundle, Killing vector field.

UDC: 514.763.3

Received: 08.06.2012
Revised: 26.06.2012

DOI: 10.4213/mzm10107