Letters in Mathematical Physics

, Volume 34, Issue 3, pp 203–238

Geometry from the spectral point of view

  • Alain Connes
Article

DOI: 10.1007/BF01872777

Cite this article as:
Connes, A. Lett Math Phys (1995) 34: 203. doi:10.1007/BF01872777

Abstract

In this Letter, we develop geometry from a spectral point of view, the geometric data being encoded by a triple (A. H. D.) of an algebraA represented in a Hilbert spaceH with selfadjoint operatorD. This point of view is dictated by the general framework of noncommutative geometry and allows us to use geometric ideas in many situations beyond Riemannian geometry.

Mathematics Subject Classifications (1991)

46L6046L8046L8719K5658H1558A12

Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Alain Connes
    • 1
  1. 1.Analyse et GeometricCollege de FranceParis Cedex 5France