On Pull-Back Bundle of Tensor Bundles Defined by Projection of The Cotangent Bundle

Abstract

Using projection (submersion) of the cotangent bundle T*M over a manifold M, we define a semi-tensor (pull-back) bundle tM of type (p,q). The aim of this study is to investigate complete lift of vector fields in a special class of semi-tensor bundle tM of the type (p,q). We also have a new example for good square in this work.

Keywords

• vector field
• complete lift
• pull-back bundle
• cotangent bundle
• semi-tensor bundle
• 53a45
• 55r10
• 57r25