• Title of article

    Perturbation and Stability of the Signature Operator on a Riemannian Manifold

  • Author/Authors

    Djerfi، K. نويسنده Geometry, analysis, control and applications laboratory,Saida university,Saida,Algeria , , Hathout، F. نويسنده Geometry, analysis, control and applications laboratory,Saida university,Saida,Algeria , , Messirdi، B. نويسنده Department of mathematics,Oran university,Oran,Algeria ,

  • Issue Information
    ماهنامه با شماره پیاپی سال 2012
  • Pages
    10
  • From page
    1
  • To page
    10
  • Abstract
    Let M be a Riemannian compact oriented smooth manifold of dimension n multiple of 4. In this paper, we study the signature behavior of M after a perturbation of the signature operator by a multiplication operator of degree q on differential forms. We establish a stability result when the degree q exceeds n/2.
  • Keywords
    Signature operator , Index , Signature , Multiplication operator , stability
  • Journal title
    General Mathematics Notes
  • Journal title
    General Mathematics Notes
  • Record number

    2404025