Introduction to Differebtial Manifolds - 搜索视频

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Manifold Definition

(An exercise in geometry) Let X be a vector field and f, g be functions on a differentiable manifold M. Show that the Lie derivative satisfies the Leibniz rule Lx(fg) = (Lx f)g f(Lx g). [It can be shown conversely (Marmo et al., 1985, p. 43) that if a map from functions satisfies the Leibniz rule o(fg) = f(og) g(of), then it defines a vector field in accordance with Lx.]

(An exercise in geometry) Let X be a vector field and f, g be

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20.1 The definition of a manifold

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Manifold Examples

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