From Riemann to Differential Geometry AND RELATIVITY

  • Looking Backward: From Euler to Riemann
  • Mathematics and Physics
    • Riemann on Geometry, Physics, and Philosophy—Some Remarks
    • Some Remarks on “A Contribution to Electrodynamics” by Bernhard Riemann
    • Riemann’s Memoir Über das Verschwinden der #-Functionen
    • Riemann’s Work on Minimal Surfaces
    • Physics in Riemann’s Mathematical Papers
    • Cauchy and Puiseux: Two Precursors of Riemann
    • Riemann Surfaces: Reception by the French School
  • Philosophy
    • The Origin of the Notion of Manifold: From Riemann’s Habilitationsvortrag Onward
    • Deleuze et la Géométrie Riemannienne: Une Topologie des Multiplicités
    • Comprehending the Connection of Things: Bernhard Riemann Comprehending the Connection of Things: Bernhard Riemann and the Architecture of Mathematical Concepts
  • Some Recent Developments
    • The Riemann Mapping Theorem and Its Discrete Counterparts
    • The Riemann–Roch Theorem
    • Metric Geometries in an Axiomatic Perspective
    • Generalized Riemann Sums
    • From Riemannian to Relativistic Diffusions
  • Relativity
    • On the Positive Mass Theorem for Closed Riemannian Manifolds
    • On Local Characterization Results in Geometry and Gravitation
    • The Conformal Approach to Asymptotic Analysis
    • Bernhard Riemann and His Work.