<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

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...

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

Published Online: Dec 31, 2020

Page range: 421 - 428

Received: Jul 17, 2019

Accepted: Oct 26, 2019

DOI: https://doi.org/10.2478/amns.2020.2.00066

Keywords
Vector field, complete lift, pull-back bundle, cotangent bundle, semi-tensor bundle

© 2020 Furkan Yildirim, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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

Published Online: Dec 31, 2020

Page range: 421 - 428

Received: Jul 17, 2019

Accepted: Oct 26, 2019

DOI: https://doi.org/10.2478/amns.2020.2.00066

KeywordsVector field, complete lift, pull-back bundle, cotangent bundle, semi-tensor bundle

© 2020 Furkan Yildirim, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Vector field, complete lift, pull-back bundle, cotangent bundle, semi-tensor bundle