The basic geometry of vector fields and definition of the notions of tangent bundles are developed in an essential different way than in usual differential geometry. ø-related vector fields are studied and some related properties are developed in our paper. Finally, a theorem 5.04 on our natural injection j of submanifolds which is j-related to vector field X is treated.DOI: http://dx.doi.org/10.3329/dujs.v60i2.11530 Dhaka Univ. J. Sci. 60(2): 259-263, 2012 (July)
Our present goal is to extend the theory of smooth functions, developed on open subsets of ℝ ୬ in the global theory of smooth functions to arbitrary differentiable manifolds, in this case geometric topology becomes an essential feature.
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