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Analysis on Manifolds

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

Abstract

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.

Keywords

Vector Field Vector Bundle Tangent Vector Smooth Manifold Tensor Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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