Conjugate connections and their applications on pure metallic metric geometries

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 presents a new characterization for locally metallic pseudo-Riemannian manifold. Also, a necessary and sufficient condition under which 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.

Dergi

RICERCHE DI MATEMATICA

Yıl

2025

Cilt

74

Sayı

2

Sayfa

1067-1085

ISSN

0035-5038

eISSN

1827-3491

DOI

10.1007/s11587-023-00782-0

WoS UID

WOS:001022072000001