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Differential Geometry 10 : Jacobians - pushing vectors forward
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In this lecture I discuss the procedure of pushing tangent vectors from one manifold to another using a smooth map. I show that this procedure is related to the Jacobian of maps of multivariable calculus. I discuss the geometric meaning of this operation in terms of how tangents to curves are pushed to tangents of images of the curve using the smooth map.
Differential Geometry 10 : Jacobians - pushing vectors forward
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