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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 3, Pages 551–562 (Mi smj2440)  
This article is cited in 7 scientific papers (total in 7 papers)

On a new family of complete $G_2$-holonomy Riemannian metrics on $S^3\times\mathbb R^4$

O. A. Bogoyavlenskaya

Novosibirsk State University, Mechanics and Mathematics Department, Novosibirsk, Russia
Full-text PDF (336 kB) Citations (7)
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Abstract: Studying a system of first-order nonlinear ordinary differential equations for the functions determining a deformation of the standard conic metric over $S^3\times S^3$, we prove the existence of a one-parameter family of complete $G_2$-holonomy Riemannian metrics on $S^3\times\mathbb R^4$.
Keywords: special holonomy groups, asymptotically locally conic Riemannian metrics.
Received: 06.11.2012
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 3, Pages 431–440
DOI: https://doi.org/10.1134/S0037446613030075
Bibliographic databases:
Document Type: Article
UDC: 514.763.3
Language: Russian
Citation: O. A. Bogoyavlenskaya, “On a new family of complete $G_2$-holonomy Riemannian metrics on $S^3\times\mathbb R^4$”, Sibirsk. Mat. Zh., 54:3 (2013), 551–562; Siberian Math. J., 54:3 (2013), 431–440
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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