Volume 28 • Number 2 • 2005   • Lanjutan Satu Kaitan Koszul Mendatar Berbentuk Maurer-Cartan Tahir Ahmad Abstract. In this paper a formulation of a connection for tangent bundle of a unit sphere; T(S2) is presented. The connection is developed using properties of tangent bundle for S2 and Lie differential operator. The connection is presented by a theorem and is found to be a flat Koszul connection. The connection is then generalized to any vector bundles (E,q,B) followed by several theorems which described its properties. Finally the extension of the developed connection turns to be a Maurer-Cartan form. 2000 Mathematics Subject Classification: 53C07. Full text: PDF