Now let χ be an arbitrary smooth n-dimensional manifold (of class C r , r ≥ 1). For any point p 0 ∈ χ, we let A (p 0) denote the set of all charts (U, h) of this manifold for which p 0 ∈ U (we say in this case that these charts are centered at p 0).
KeywordsTangent Space Tangent Vector Smooth Manifold Affine Space Oriented Manifold
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