Springer, Dordrecht


647 Pages

ISBN 978-3-319-60038-3

From Riemann to differential geometry and relativity

Edited by

Lizhen Ji , Athanase Papadopoulos , Sumio Yamada

This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. It features contributions from a range of fields, historical expositions, and selected research articles that were motivated by Riemann's ideas and demonstrate their timelessness. The editors are convinced of the tremendous value of going into Riemann's work in depth, investigating his original ideas, integrating them into a broader perspective, and establishing ties with modern science and philosophy. Accordingly, the contributors to this volume are mathematicians,physicists, philosophers and historians of science. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.

Publication details

Full citation:

Ji, L. , Papadopoulos, A. , Yamada, S. (eds) (2017). From Riemann to differential geometry and relativity, Springer, Dordrecht.

Table of Contents

Looking backward

Papadopoulos Athanase


Open Access Link
Riemann's work on minimal surfaces

Yamada Sumio


Open Access Link
Physics in Riemann's mathematical papers

Papadopoulos Athanase


Open Access Link
Cauchy and Puiseux

Papadopoulos Athanase


Open Access Link
Riemann surfaces

Papadopoulos Athanase


Open Access Link
The origin of the notion of manifold

Ohshika Ken'ichi


Open Access Link
Deleuze et la géométrie Riemannienne

Jedrzejewski Franck


Open Access Link
Comprehending the connection of things

Plotnitsky Arkady


Open Access Link
The Riemann–Roch theorem

A'Campo Norbert; Alberge Vincent; Frenkel Elena


Open Access Link
Metric geometries in an axiomatic perspective

Pambuccian Victor; Struve Horst; Struve Rolf


Open Access Link
Generalized Riemann sums

Sunada Toshikazu


Open Access Link
On the positive mass theorem for closed Riemannian manifolds

Hermann Andreas; Humbert Emmanuel


Open Access Link
The conformal approach to asymptotic analysis

Nicolas Jean-Philippe


Open Access Link
Bernhard Riemann and his work

Ji Lizhen


Open Access Link

This document is unfortunately not available for download at the moment.