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Invariant affinor metric structures on Lie groups

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Abstract

We introduce the class of special metric structures on Lie groups which are connected with the radical of a fixed 1-form on a Lie group. These structures are called affinor metric structures. We introduce and study some special classes of invariant affinor metric structures and generalize many results of the theory of contact metric structures on Lie groups.

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Authors and Affiliations

  1. Kemerovo State University, Kemerovo, Russia

    E. S. Kornev

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  1. E. S. Kornev
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Correspondence to E. S. Kornev.

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Original Russian Text Copyright © 2012 Kornev E. S.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 1, pp. 107–123, January–February, 2012.

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Kornev, E.S. Invariant affinor metric structures on Lie groups. Sib Math J 53, 87–99 (2012). https://doi.org/10.1134/S0037446612010077

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  • DOI: https://doi.org/10.1134/S0037446612010077

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