Steklov Institute of Mathematics at St.Petersburg

PREPRINT 05/2004

SOME REMARKS ON IMPEDANCE TOMOGRAPHY PROBLEM FOR 3d-MANIFOLDS

This preprint was accepted April 25, 2004

ABSTRACT:
We derive the formulas expressing the topological
characteristics (Betti numbers) of 3d-manifold
with boundary through its Dirichlet-to-Neumann maps
associated with scalar and vector harmonic fields.