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This paper is a survey of the basic theory of connection on bundles. A connection on tangent bundle , is called an affine connection on an -dimensional smooth manifold . By the general discussion of affine connection on vector bundles that necessarily exists on which is compatible with tensors.doi:10.3329/dujs.v60i2.11492 fatcat:rnyqsc5slbhw3n3s53mqz26naa