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On new explicit Riemannian SU(2(n + 1))-holonomy metrics

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Abstract

Generalizing the Calabi metrics in dimension 4(n + 1), we construct a family of complete noncompact Ricci-flat metrics with holonomy SU(2(n + 1)) in explicit algebraic form.

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Authors and Affiliations

  1. Novosibirsk State University, Novosibirsk, Russia

    E. G. Malkovich

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  1. E. G. Malkovich
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Correspondence to E. G. Malkovich.

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Original Russian Text Copyright © 2011 Malkovich E. G.

The author was supported by the Russian Foundation for Basic Research (Grant 09-01-00142-a), the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-7256.2010.1), the Federal Target Program for 2009–2013 (State Contract 02.740.11.0429), and the Interdisciplinary Project of the Siberian Division of the Russian Academy of Sciences and the Ural Division of the Russian Academy of Sciences (Project No. 46).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 52, No. 1, pp. 95–99, January–February, 2011.

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Malkovich, E.G. On new explicit Riemannian SU(2(n + 1))-holonomy metrics. Sib Math J 52, 74–77 (2011). https://doi.org/10.1134/S0037446606010083

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  • DOI: https://doi.org/10.1134/S0037446606010083

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