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From Riemann to Differential Geometry and Relativity

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Cover of 'From Riemann to Differential Geometry and Relativity'

Table of Contents

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    Book Overview
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    Chapter 1 Looking Backward: From Euler to Riemann
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    Chapter 2 Riemann on Geometry, Physics, and Philosophy—Some Remarks
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    Chapter 3 Some Remarks on “A Contribution to Electrodynamics” by Bernhard Riemann
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    Chapter 4 Riemann’s Memoir Über das Verschwinden der $$\vartheta $$ -Functionen
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    Chapter 5 Riemann’s Work on Minimal Surfaces
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    Chapter 6 Physics in Riemann’s Mathematical Papers
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    Chapter 7 Cauchy and Puiseux: Two Precursors of Riemann
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    Chapter 8 Riemann Surfaces: Reception by the French School
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    Chapter 9 The Origin of the Notion of Manifold: From Riemann’s Habilitationsvortrag Onward
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    Chapter 10 Deleuze et la Géométrie Riemannienne: Une Topologie des Multiplicités
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    Chapter 11 Comprehending the Connection of Things: Bernhard Riemann and the Architecture of Mathematical Concepts
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    Chapter 12 The Riemann Mapping Theorem and Its Discrete Counterparts
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    Chapter 13 The Riemann–Roch Theorem
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    Chapter 14 Metric Geometries in an Axiomatic Perspective
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    Chapter 15 Generalized Riemann Sums
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    Chapter 16 From Riemannian to Relativistic Diffusions
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    Chapter 17 On the Positive Mass Theorem for Closed Riemannian Manifolds
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    Chapter 18 On Local Characterization Results in Geometry and Gravitation
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    Chapter 19 The Conformal Approach to Asymptotic Analysis
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    Chapter 20 Bernhard Riemann and His Work
Attention for Chapter 8: Riemann Surfaces: Reception by the French School
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Chapter title
Riemann Surfaces: Reception by the French School
Chapter number 8
Book title
From Riemann to Differential Geometry and Relativity
Published by
Springer, Cham, January 2017
DOI 10.1007/978-3-319-60039-0_8
Book ISBNs
978-3-31-960038-3, 978-3-31-960039-0
Authors

Athanase Papadopoulos