This article is cited in 5 papers

Invariant affinor metric structures on Lie groups

E. S. Kornev

Kemerovo State University, Faculty of Mathematics, Kemerovo

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.

Keywords: left-invariant metric, affinor, radical of a 1-form, Lie group.

UDC: 514.765

Received: 11.11.2009

 English version: Siberian Mathematical Journal, 2012, 53:1, 87–99

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