Novel theorems for the cotangent bundle endowed with metallic structures on a differentiable manifold

Abstract

The present paper aims to study the complete, horizontal and diagonal lifts of metallic structures in the cotangent bundle. Furthermore, the Nijenhuis tensor of a metallic structure is calculated and its integrability conditions by means of partial differential equations are established.

Keywords

• Metallic structure
• Complete lift
• Horizontal lift
• Diagonal lift
• Differential equations
• Nijenhuis tensor