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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 1, Pages 11–32 (Mi smj2)  
This article is cited in 23 scientific papers (total 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
Full-text PDF (331 kB) Citations (23)
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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.
Received: 20.02.2006
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 1, Pages 8–25
DOI: https://doi.org/10.1007/s11202-007-0003-7
Bibliographic databases:
UDC: 514.763.3
Language: Russian
Citation: Ya. V. Bazaikin, “On the new examples of complete noncompact Spin(7)-holonomy metrics”, Sibirsk. Mat. Zh., 48:1 (2007), 11–32; Siberian Math. J., 48:1 (2007), 8–25
Citation in format AMSBIB
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    • This publication is cited in the following 23 articles:
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