INVARIANT AFFINOR METRIC STRUCTURES ON LIE GROUPS

被引：5

作者：

Kornev, E. S. ^{[1
]}

机构：

[1] Kemerovo State Univ, Kemerovo 650043, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2012年 / 53卷 / 01期

关键词：

left-invariant metric; affinor; radical of a 1-form; Lie group;

D O I：

10.1134/S0037446612010077

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：87 / 99

页数：13

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