Thesis Type: Postgraduate
Institution Of The Thesis: Ataturk University, Fen Bilimleri Enstitüsü, Matematik Anabilim Dalı, Turkey
Approval Date: 2021
Thesis Language: Turkish
Student: Merve Gamze MAVİYILDIZ
Consultant: Furkan YıldırımAbstract:
In this thesis, using projection of the cotangent bundle T*M over a manifold M, we define a semi-tensor bundle tM of type (p,q). The aim of the study is to investigate horizontal lifts of vector fields in special class of semi-tensor bundle tM of type (p,q). Furthermore, we investigate some lifts of tensor fields of type (1,0) on a cross-section in the semi-tensor (pullback) bundle tM of tensor bundle TM of type (p,q) by using projection (submersion) of the cotangent bundle T*M and we find some geometric relations for them.