On the hyperbolic dirichlet to neumann functional in Hn and Sn

• Cardoso, Fernando ^[1] ; Cuevas, Claudio ^[2]
  1. [1] Universidade Federal de Pernambuco

     Universidade Federal de Pernambuco

     Brasil

     
  2. [2] Universidad de La Frontera

     Universidad de La Frontera

     Temuco, Chile

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 17, Nº. 1, 1998, págs. 63-70
• Idioma: inglés
• DOI: 10.22199/S07160917.1998.0001.00005
• Enlaces
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• Resumen

  • We prove the injectivity of the linearizatíon of the hyperbolíc Dirichlet to Neumann functional in a "small" bounded domain of the hyperbolic space Hn (resp., the sphere Sn) under some suitable transversality condition.

• Referencias bibliográficas
  • Citas [1] F. Cardoso and R. Mendoza, "On the hyperbolic Dirichlet to Neumann functional", Comm. in Partial Diff. Equations, 21,...
  • [2] J.M. Lee, G. Mendoza, J. Sylvester and G. Uhlmann, "Metric deformation:; which preserve boundary lengths ", preprint.
  • [3] W.A. Poor, "Differential Geometric Structures", McGraw-Hill Book Company, (1981).
  • [4] G. Uhlmann, "lnverse boundary value problems and applications", Astérisque, 207, pp. 153-211, (1992).