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).
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© 1988 Springer Science+Business Media New York
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Berger, M., Gostiaux, B. (1988). Curves: The Local Theory. In: Differential Geometry: Manifolds, Curves, and Surfaces. Graduate Texts in Mathematics, vol 115. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1033-7_9
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DOI: https://doi.org/10.1007/978-1-4612-1033-7_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6992-2
Online ISBN: 978-1-4612-1033-7
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