Analysis on Manifolds

  • Aleksandr A. Kirillov
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 220)


Sets with structure locally like Euclidean spaces are called manifolds. This property enables us to introduce local systems of coordinates on manifolds and to employ the apparatus of mathematical analysis. A precise definition of manifold follows.


Vector Field Vector Bundle Tangent Vector Smooth Manifold Tensor Field 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1976

Authors and Affiliations

  • Aleksandr A. Kirillov
    • 1
  1. 1.Moscow State UniversityUSA

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