Abstract
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.
Highlights
Impedance Tomog,Taphy, of determining, the condnctivity of a body from measurement of voltag,e potencials and corresponding, current fiuxes at the Lmmdary, this problem arose in g;eophysics from attempts to deternúne the composition of the earth
The hyperbolic Dirichlet to Neumann map was considered in t. he art.icles [1 j. [2] and [.Jj
As in [1] we refer to Condition b) as the Transversality Condition and we remind that Condition e) is necessary to avoid the appearance of caustics
Summary
Where Op(r) denotes the space of al! The hyperbolic Dirichlet to Neumann map was considered in t. [2] and [.Jj. vVe follow [1 j and define, for tixed g, t he map: ( 1.4)
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