GROMOV COMPACTNESS OF MANIFOLDS WITH BOUNDARY AND STABILITY IN INVERSE BOUNDARY SPECTRAL PROBLEMS


Y V KURYLEV

Y.V.Kurylev@lboro.ac.uk

Department of Mathematical Sciences
Loughborough University
Loughborough, Leicestershire LE11 3TU, UK






In this talk (joint with A Katsuda, M Lassas and M Taylor) we formulate geometric conditions on Riemannian manifolds with boundary which guarantee their (pre)compactness in the Gromov-Hausdorff topology. We study the metric properties of the closure of this set. We show that the Gel'fand inverse boundary spectral problem is uniquely solvable in this class and prove a corresponding result on relative stability.


EPSRC Gregynog Workshop, 21-26 July 2002

Gregynog Abstracts