ON APPROXIMATELY INTEGRABLE SO(3) STRUCTURES ON 5-DIMENSIONAL MANIFOLDS

被引：0

作者：

Sedykh, Anna Gennad'evna ^{[1
]}

机构：

[1] Kemerovo State Univ, Kemerovo, Russia

来源：

VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS | 2013年 / 23期

关键词：

special SO(3) structure; 5-dimentional manifold; Lie group;

D O I：

暂无

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this work, irreducible SO(3) structures on a 5-dimentional manifold are considered. The covariant divergence of the structure tensor is shown to be zero for approximately integrable irreducible SO(3) structures. Examples of left invariant irreducible SO(3) structures on 5-dimentional Lie groups that have a zero covariant divergence of the structure tensor but are not approximately integrable, as well as of irreducible SO(3) structures with nonzero covariant divergence of the structure tensor are presented.

引用

页码：45 / 50

页数：6

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