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  • Research Article
  • Open Access

Hardy inequalities in strips on ruled surfaces

Journal of Inequalities and Applications20062006:46409

  • Received: 17 August 2005
  • Accepted: 8 November 2005
  • Published:


We consider the Dirichlet Laplacian in infinite two-dimensional strips defined as uniform tubular neighbourhoods of curves on ruled surfaces. We show that the negative Gauss curvature of the ambient surface gives rise to a Hardy inequality and we use this to prove certain stability of spectrum in the case of asymptotically straight strips about mildly perturbed geodesics.


  • Gauss Curvature
  • Tubular Neighbourhood
  • Hardy Inequality
  • Ambient Surface
  • Negative Gauss Curvature


Authors’ Affiliations

Department of Theoretical Physics, Nuclear Physics Institute, Academy of Sciences of the Czech Republic, Řež, 250 68, Czech Republic


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