Recovering Riemannian metrics in monotone families from boundary data

Gaburro, Romina and Lionheart, William R.B. (2008) Recovering Riemannian metrics in monotone families from boundary data. [MIMS Preprint]

PDF detmetric5.pdf Download (186kB)

Abstract

We discuss the inverse problem of determining the anisotropic conductivity of a body described by a compact, orientable, Riemannian manifold M with boundary bdy M, when measurements of electric voltages and currents are taken on all of bdy M. Specifically we consider a one parameter family of conductivity tensors, extending results obtained in [AG] 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 bdy M.

Item Type:	MIMS Preprint
Uncontrolled Keywords:	inverse boundary value problem, ansitropic condictivity, Riemannian metric
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 35 Partial differential equations MSC 2010, the AMS's Mathematics Subject Classification > 53 Differential geometry
Depositing User:	Prof WRB Lionheart
Date Deposited:	08 Jul 2008
Last Modified:	08 Nov 2017 18:18
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1124

Actions (login required)

View Item