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Curves: The Local Theory

  • Marcel Berger
  • Bernard Gostiaux
Chapter
  • 2.7k Downloads
Part of the Graduate Texts in Mathematics book series (GTM, volume 115)

Abstract

In this chapter we study arcs, that is, immersions of open intervals of R into finite-dimensional affine or vector spaces (8.1.1). We define points of an arc and several important objects associated with them: the tangent, the osculating plane and the concavity (section 8.2).

Keywords

Plane Curve Local Theory Rigid Motion Unit Tangent Vector Affine Space 
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 Science+Business Media New York 1988

Authors and Affiliations

  • Marcel Berger
    • 1
  • Bernard Gostiaux
    • 2
  1. 1.I.H.E.S.Bures-sur-YvetteFrance
  2. 2.Le PerreuxFrance

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