Article
2025
·
3 citations
Conjugate connections and their applications on pure metallic metric geometries
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 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.
Keywords
Codazzi-coupled
Conjugate connection
Metallic pseudo-Riemannian manifold
Statistical manifold
NORDEN
MANIFOLDS
WoS Categories
Mathematics, Applied
Mathematics
Citation
- Journal
- RICERCHE DI MATEMATICA
- Year
- 2025
- Volume
- 74
- Issue
- 2
- Pages
- 1067-1085
- ISSN
- 0035-5038
- eISSN
- 1827-3491
- DOI
- 10.1007/s11587-023-00782-0
- WoS UID
- WOS:001022072000001