Geometry VI pp 394-403 | Cite as

Tangent Vectors

  • M. M. Postnikov
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 91)


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


Tangent Space Tangent Vector Smooth Manifold Affine Space Oriented Manifold 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • M. M. Postnikov
    • 1
  1. 1.MIRANMoscowRussia

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