2017/09/01 by Athanase Papadopoulos, Papadopoulos, Athanase
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #History and Theory of Mathematics #Relativity and Gravitational Theory #math.AG #math.CV #math.DG #math.GT #math.HO
paper · pdf · doi:10.48550/arxiv.1709.00264
arxiv created 2017/09/01 · arxiv updated 2017/09/04
This is the introduction I wrote for the multi-authored book "From Riemann to differential geometry and relativity", edited by L. Ji, A. Papadopoulos and S. Yamada (Berlin, Springer verlag, 2017). The book consists of twenty chapters, written by various authors. This introduction, besides giving the information on the content of the book, is a quick review of the topics on which Riemann worked and of the impact of this work on mathematics (topology, complex geometry, algebraic geometry, integration, trigonometric series, Riemannian geometry, etc.), philosophy and physics.