Introduction to Differentiable Manifolds

Antonio Romano () and Mario Mango Furnari
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Antonio Romano: Università degli Studi di Napoli Federico II, Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”
Mario Mango Furnari: Istituto di Cibernetica

Chapter Chapter 2 in The Physical and Mathematical Foundations of the Theory of Relativity, 2019, pp 39-82 from Springer

Abstract: Abstract In this chapter, after a brief survey of the historical development of geometry, differentiable manifolds are defined together with many geometric structures equipping them as differentiable curves and functions, tangent and cotangent spaces, differential and codifferential of a map, tangent and cotangent fiber bundles, Riemannian manifolds, and geodesics.

Date: 2019
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DOI: 10.1007/978-3-030-27237-1_2

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