Lie Groups as 4-Dimensional Riemannian orPseudo-Riemannian Almost Product Manifoldswith Nonintegrable Structure

Dimitar Mekerov

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Lie Groups as 4-Dimensional Riemannian orPseudo-Riemannian Almost Product Manifoldswith Nonintegrable Structure

机译：Lie群为具有不可积结构的4维黎曼或伪黎曼几乎积流形

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A Lie group as a 4-dimensional pseudo-Riemannian manifold isconsidered. This manifold is equipped with an almost product structure anda Killing metric in two ways. In the first case Riemannian almost productmanifold with nonintegrable structure is obtained, and in the second case – apseudo-Riemannian one. Each belongs to a 4-parametric family of manifolds,which are characterized geometrically.

机译：考虑了作为四维伪黎曼流形的李群。该歧管通过两种方式配备了几乎产品结构和Killing指标。在第一种情况下，获得了具有不可积结构的几乎黎曼流形，而在第二种情况下，获得了伪-黎曼流形。每个都属于一个4参数的歧管族，这些歧管在几何上具有特征。

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《Journal of geometry》 |2008年第2期|共10页
作者
Dimitar Mekerov;
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正文语种 eng
中图分类几何、拓扑;
关键词
Almost product manifold; Lie group; Riemannian metric; pseudo-Riemannian metric; nonintegrable structure; Killing metric;

机译：几乎积流形;黎族;黎曼度量;伪黎曼度量;不可积结构;杀死度量;

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专利

1. Lie Groups as 4-Dimensional Riemannian orPseudo-Riemannian Almost Product Manifoldswith Nonintegrable Structure [J] . Dimitar Mekerov Journal of geometry . 2008,第1a2期

机译：Lie群为具有不可积结构的4维黎曼或伪黎曼几乎积流形
2. Lie Groups as 4-Dimensional Riemannian or Pseudo-Riemannian Almost Product Manifolds with Nonintegrable Structure [J] . Dimitar Mekerov Journal of Geometry . 2008,第1a2期

机译：Lie群为具有不可积结构的4维黎曼或伪黎曼几乎乘积流形
3. On Riemannian almost Product Manifolds with Nonintegrable Structure [J] . Dimitar Mekerov Journal of Geometry . 2008,第1a2期

机译：关于黎曼方程具有不可积结构的几乎乘积流形
4. Pseudo-Riemannian structures on Lie groups, computation of reachable sets via geodesics vs optimal control problems [C] . Mittenhuber, D. . 1995

机译：李群上的伪黎曼结构，通过测地线计算可到达集合与最佳控制问题
5. Some graded Lie algebra structures associated with Lie algebras and Lie algebroids. [D] . Yang, Qunfeng. 1999

机译：与李代数和李代数相关的一些分级李代数结构。
6. Rota–Baxter operators and post-Lie algebra structures on semisimple Lie algebras [O] . Dietrich Burde, Vsevolod Gubarev -1

机译：半简单李代数上的Rota–Baxter算子和后李代数结构
7. Lie groups as 4-dimensional Riemannian or pseudo-Riemannian almost product manifolds with nonintegrable structure [O] . Mekerov, Dimitar 2008

机译：李群几乎是四维黎曼或伪黎曼产品歧管具有不可整合的结构

Lie Groups as 4-Dimensional Riemannian orPseudo-Riemannian Almost Product Manifoldswith Nonintegrable Structure

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