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Born geometry on ρ-commutative algebra
International Journal of Geometric Methods in Modern Physics ( IF 1.8 ) Pub Date : 2020-09-29 , DOI: 10.1142/s0219887820502102
Zahra Bagheri 1 , Esmaeil Peyghan 1
Affiliation  

The aim of this paper is to establish a generalization of the Born geometry to [Formula: see text]-commutative algebras. We introduce the notion of Born [Formula: see text]-commutative algebras and study the existence and uniqueness of a torsion connection which preserves the Born structure. Also, an analogue of the fundamental theorem of Riemannian geometry will be proved for these algebras.

中文翻译:

ρ-交换代数上的玻恩几何

本文的目的是将玻恩几何推广到[公式:见正文]-交换代数。我们引入了 Born [Formula: see text]-commutative algebras 的概念,并研究了保留 Born 结构的扭转连接的存在性和唯一性。此外,还将为这些代数证明黎曼几何基本定理的类似物。
更新日期:2020-09-29
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