Gaburro-Lionheart 1.pdf (192.22 kB)
Recovering Riemannian metrics in monotone families from boundary data
journal contribution
posted on 2013-08-13, 13:47 authored by ROMINA GABURROROMINA GABURRO, William R. B. LionheartWe discuss the inverse problem of determining the anisotropic
conductivity of a body described by a compact, orientable, Riemannian manifold M
with boundary @M, when measurements of electric voltages and currents are taken
on all of @M. Specifically we consider a one parameter family of conductivity tensors,
extending results obtained in [3] where the simpler Euclidean case is considered. Our
problem is equivalent to the geometric one of determining a Riemannian metric in
monotone one parameter family of metrics from its Dirichlet to Neumann map on @M.
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Inverse Problems;25(4) 14pgsPublisher
Institute of Physics PublishingNote
peer-reviewedOther Funding information
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