Open AccessQUARTER-SYMMETRIC METRIC CONNECTION ON TANGENT BUNDLE OF NORDEN MANIFOLD
Author(s) -
Rabia Çakan Akpınar,
Harun Çağatay Okyay
Publication year - 2021
Publication title -
journal of science and arts
Language(s) - English
Resource type - Journals
eISSN - 2068-3049
pISSN - 1844-9581
DOI - 10.46939/j.sci.arts-21.3-a05
Subject(s) - tangent bundle , metric connection , mathematics , connection (principal bundle) , manifold (fluid mechanics) , mathematical analysis , metric (unit) , parallelizable manifold , unit tangent bundle , lift (data mining) , pure mathematics , topology (electrical circuits) , geometry , fundamental theorem of riemannian geometry , combinatorics , tangent space , computer science , ricci curvature , mechanical engineering , operations management , curvature , data mining , engineering , economics
The aim of the paper is to study the tangent bundle of Norden manifolds endowed with the complete lift of quarter-symmetric metric connection. Firstly, the complete lift of quarter-symmetric metric connection is obtained on tangent bundle of almost Norden manifold. Under the condition of integrability of structure, the almost Norden manifold endowed with the quarter-symmetric metric connection is shown to be Norden manifold.