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G 2-holonomy metrics connected with a 3-Sasakian manifold

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Abstract

We construct complete noncompact Riemannian metrics with G 2-holonomy on noncompact orbifolds that are ℝ3-bundles with the twistor space as a spherical fiber.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    Ya. V. Bazaikin

  2. Novosibirsk State University, Novosibirsk, Russia

    E. G. Malkovich

Authors
  1. Ya. V. Bazaikin
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  2. E. G. Malkovich
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Corresponding author

Correspondence to Ya. V. Bazaikin.

Additional information

Original Russian Text Copyright © 2008 Bazaĭkin Ya. V. and Malkovich E. G.

The authors were supported by the Russian Foundation for Basic Research (Grant 06-01-0094-a) and the Integration Grant of the Siberian Division of the Russian Academy of Sciences (No. 2.15); the first author was also supported by the President of the Russian Federation (Grant MK-8712.2006.1).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 1, pp. 3–7, January–February, 2008.

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Bazaikin, Y.V., Malkovich, E.G. G 2-holonomy metrics connected with a 3-Sasakian manifold. Sib Math J 49, 1–4 (2008). https://doi.org/10.1007/s11202-008-0001-4

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  • DOI: https://doi.org/10.1007/s11202-008-0001-4

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