Metallic Structures on Differentiable Manifolds
Differential Geometry
2024-11-27 v1
Abstract
In this paper, we study metallic structures, i.e. polynomial structures with the structure polynomial on manifolds using the metallic ratio, which is a generalization of the Golden proportion. We investigate for integrability and parallelism conditions of metallic structures. Also, we give some properties of the metallic Riemannian metric and an example of the metallic structure.
Cite
@article{arxiv.1807.04360,
title = {Metallic Structures on Differentiable Manifolds},
author = {Mustafa Özkan and Fatma Yilmaz},
journal= {arXiv preprint arXiv:1807.04360},
year = {2024}
}