This article is cited in 23 papers

On the new examples of complete noncompact Spin(7)-holonomy metrics

Ya. V. Bazaikin

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

Abstract: We construct some complete Spin(7)-holonomy Riemannian metrics on the noncompact orbifolds that are $\mathbb R^4$-bundles with an arbitrary 3-Sasakian spherical fiber $M$. We prove the existence of the smooth metrics for $M=S^7$ and $M=SU(3)/U(1)$ which were found earlier only numerically.

Keywords: exceptional holonomy groups, 3-Sasakian manifold.

UDC: 514.763.3

Received: 20.02.2006

 English version: Siberian Mathematical Journal, 2007, 48:1, 8–25

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