METALLIC STRUCTURES ON DIFFERENTIABLE MANIFOLDS

被引：0

作者：

Ozkan, Mustafa ^{[1
]}

Yilmaz, Fatma ^{[1
]}

机构：

[1] Gazi Univ, Dept Math, Fac Sci, TR-06500 Ankara, Turkey

来源：

JOURNAL OF SCIENCE AND ARTS | 2018年 / 03期

关键词：

Metallic ratio; metallic structure; polynomial structure; almost product structure; Riemannian manifold; metallic Riemannian manifold;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we study metallic structures, i.e. polynomial structures with the structure polynomial Q(J) = J(2) - aJ -bI on manifolds using the metallic ratio, which is a generalization of the Golden proportion. We investigate for integrability and parallelism conditions of metallic structures. Also, we obtain a metallic Riemannian manifold with respect to the Riemannian metric.

引用

页码：645 / 660

页数：16

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