Some vocabulary from differential geometry

  • Michel Emery
Part of the Universitext book series (UTX)


This chapter is almost empty; it consists mainly of definitions that can be found at the beginning of any textbook on elementary differential geometry (the only non-trivial result, Whitney’s imbedding theorem, is admitted). We urge the reader who has not forgotten every single word of his or her undergraduate course in differential geometry to skip it, remembering only that, in these notes, ‘form’ stands for differential form of degree 1 and ‘bilinear form’ for tensor of rank (0,2) (i.e. twice covariant).


Vector Field Open Subset Bilinear Form Tangent Vector Variable Formula 
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 1989

Authors and Affiliations

  • Michel Emery
    • 1
  1. 1.UER de Mathématiques et InformatiqueUniversité Louis PasteurStrasbourg CedexFrance

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