vix.ing · top · new · best · stats · spec

Conjugate Connections and their Applications on Pure Metallic Metric Geometries

2022/06/02 by Olgun Durmaz, Durmaz, Olgun, Aydın Gezer +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #53C05 #53C55 #62B10 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Myofascial pain diagnosis and treatment

paper · pdf · doi:10.48550/arxiv.2206.00957

openalex publication_date 2022/06/02 · openalex created_date 2022/06/13 · openalex updated_date 2026/07/28

Abstract

Let ( M,J,g) be a metallic pseudo-Riemannian manifold equipped with a metallic structure J and a pseudo-Riemannian metric g. The paper deals with interactions of Codazzi couplings formed by conjugate connections and tensor structures. The presence of Tachibana operator and Codazzi couplings presented a new characterization for locally metallic pseudo-Riemannian manifold. Also, a necessary and sufficient condition a non-integrable metallic pseudo-Riemannian manifold is a quasi metallic pseudo Riemannian manifold is derived. Finally, it is introduced metallic-like pseudo-Riemannian manifolds and presented some results concerning them.

Related