On the hyperbolic dirichlet to neumann functional in Hn and Sn
DOI:
https://doi.org/10.22199/S07160917.1998.0001.00005Abstract
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.
References
[1] F. Cardoso and R. Mendoza, "On the hyperbolic Dirichlet to Neumann functional", Comm. in Partial Diff. Equations, 21, pp. 1235-1252, (1996).
[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).
[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).
Published
2018-04-04
How to Cite
[1]
F. Cardoso and C. Cuevas, “On the hyperbolic dirichlet to neumann functional in Hn and Sn”, Proyecciones (Antofagasta, On line), vol. 17, no. 1, pp. 63-70, Apr. 2018.
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