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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2008 Volume 263, Pages 6–17 (Mi tm780)

This article is cited in 9 papers

Noncompact Riemannian Spaces with the Holonomy Group $\operatorname{Spin}(7)$ and 3-Sasakian Manifolds

Ya. V. Bazaikin

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

Abstract: We complete the study of the existence of Riemannian metrics with $\operatorname{Spin}(7)$ holonomy that smoothly resolve standard cone metrics on noncompact manifolds and orbifolds related to 7-dimensional 3-Sasakian spaces.

UDC: 514.764.214

Received in March 2008


 English version:
Proceedings of the Steklov Institute of Mathematics, 2008, 263, 2–12

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