478 citations · 2.5k across the 62 of their papers we have counts for
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Remarks on AriasMarco-Schüth's paper entitled: "Local symmetry of harmonic spaces as determined by the spectra of small geodesic spheres" [arXiv:1001.1611]
Zoltan Imre Szabo
The main goal in this paper is to point out that quantity on a harmonic space can not be determined by the spectra of local geodesic spheres or balls, therefore…
Berwald metrics constructed by Chevalley's polynomials
Z. I. Szabo
Berwald metrics are particular Finsler metrics which still have linear Berwald connections. Their complete classification is established in an earlier work, [Sz1], of this author.…
Theory of zones on Zeeman manifolds; A new approach to the infinities of QED
Zoltan I. Szabo
The Zeeman-Hamilton operators of free charged particles are identified with the Laplacians of certain Riemannian manifolds, called Zeeman manifolds. The quantum Hilbert space decom…
Reconstruction of the intertwining operator and new striking examples added to``Isospectral pairs of metrics on balls and spheres with different local geometries''
Z. I. Szabo
The intertwining operator constructed in [Sz1,Sz2] does not appear in the right form. It is established there by using only the anticommutators. The correct operator must involve a…
Isospectral pairs of metrics on balls, spheres, and other manifolds with different local geometries
Z. I. Szabo
The first isospectral pairs of metrics are constructed on balls and spheres. This long standing problem, concerning the existence of such pairs, has been solved by a new method cal…
A cornucopia of isospectral pairs of metrics on spheres with different local geometries
Z. I. Szabo
This article concludes the comprehensive study started in [Sz5], where the first non-trivial isospectral pairs of metrics are constructed on balls and spheres. These investigations…