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From Riemann to Differential Geometry and Relativity

Edited by Lizhen Ji (), Athanase Papadopoulos () and Sumio Yamada ()

in Springer Books from Springer

Date: 2017
ISBN: 978-3-319-60039-0
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Chapters in this book:

Looking Backward: From Euler to Riemann
Athanase Papadopoulos
Riemann on Geometry, Physics, and Philosophy—Some Remarks
Jeremy Gray
Some Remarks on “A Contribution to Electrodynamics” by Bernhard Riemann
Hubert Goenner
Riemann’s Memoir Über das Verschwinden der $$\vartheta $$ -Functionen
Christian Houzel
Riemann’s Work on Minimal Surfaces
Sumio Yamada
Physics in Riemann’s Mathematical Papers
Athanase Papadopoulos
Cauchy and Puiseux: Two Precursors of Riemann
Athanase Papadopoulos
Riemann Surfaces: Reception by the French School
Athanase Papadopoulos
The Origin of the Notion of Manifold: From Riemann’s Habilitationsvortrag Onward
Ken’ichi Ohshika
Deleuze et la Géométrie Riemannienne: Une Topologie des Multiplicités
Franck Jedrzejewski
Comprehending the Connection of Things: Bernhard Riemann and the Architecture of Mathematical Concepts
Arkady Plotnitsky
The Riemann Mapping Theorem and Its Discrete Counterparts
Feng Luo
The Riemann–Roch Theorem
Norbert A’Campo, Vincent Alberge and Elena Frenkel
Metric Geometries in an Axiomatic Perspective
Victor Pambuccian, Horst Struve and Rolf Struve
Generalized Riemann Sums
Toshikazu Sunada
From Riemannian to Relativistic Diffusions
Jacques Franchi
On the Positive Mass Theorem for Closed Riemannian Manifolds
Andreas Hermann and Emmanuel Humbert
On Local Characterization Results in Geometry and Gravitation
Marc Mars
The Conformal Approach to Asymptotic Analysis
Jean-Philippe Nicolas
Bernhard Riemann and His Work
Lizhen Ji

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DOI: 10.1007/978-3-319-60039-0

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