A Survey on Metallic Vector Fields

نویسندگان
Fasihi-Ramandi, Ghodratallah ID 1
Pour Farrokh, Sahar ID 2
Azami, Shahroud ID 3

1 ‎Department of Pure Mathematics‎, ‎Faculty of Science‎, ‎‎Imam Khomeini International University, ‎Qazvin‎, ‎I‎. ‎R‎. ‎Iran

2 ‎Department of Pure Mathematics‎, ‎Faculty of Science‎, ‎‎Imam Khomeini International University, ‎Qazvin‎, ‎I‎. ‎R‎. ‎Iran

3 ‎Department of Pure Mathematics‎, ‎Faculty of Science‎, ‎‎Imam Khomeini International University, ‎Qazvin‎, ‎I‎. ‎R‎. ‎Iran

doi
10.22052/mir.2025.257341.1532
چکیده

‎This document introduces the idea of metallic vector fields in the framework of semi-Riemannian manifolds‎. ‎Then‎, ‎we study the geometry of such vector fields on closed and compact manifolds‎. ‎The existence of metallic fields on immersed submanifolds will also be investigated‎. ‎Finally‎, ‎we investigate metallic vector fields on warped product manifolds‎.

کلیدواژه‌ها
Reimannian manifold‎, ‎Metallic vector fields‎, ‎Submanifold geometry