Manifolds: The Basics

Jacques Lafontaine
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Jacques Lafontaine: Université Montpellier 2, Département de Mathématiques

Chapter Chapter 2 in An Introduction to Differential Manifolds, 2015, pp 49-96 from Springer

Abstract: Abstract “The notion of a manifold is hard to define precisely.” This is the famous opening of Chapter III of Leçons sur la Géométrie des espaces de Riemann by Elie Cartan. It is followed by a stimulating heuristic discussion on the notion of manifold which can still be read with pleasure. For additional historic perspective we also mention Riemann’s inaugural lecture, translated with annotations for the modern reader in [Spivak 79].

Keywords: Vector Bundle; Open Subset; Projective Space; Complex Projective Space; Topological Manifold (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-20735-3_2

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