Tangent Spaces

Will J. Merry
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Will J. Merry: ETH Zürich, Departement Mathematik

Chapter Chapter 2 in Lectures on Differential Geometry I, 2026, pp 17-22 from Springer

Abstract: Abstract In this chapter we define a smooth function on a manifold. We define the derivation of a smooth function on ℝ n $$\mathbb {R}^n$$ ; we introduce the local co-ordinates of a point p of a manifold. We define the germ of a smooth function at p, and then a tangent vector at p and the tangent space at p.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-032-03733-6_2

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DOI: 10.1007/978-3-032-03733-6_2

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