Date of Award

1990

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics

First Advisor

Robert V. Perlis

Abstract

In this paper, we examine the examples of isospectral but non-isometric Riemannian manifolds given by Milnor, Ikeda, and Vigneras. Of these, only Milnor's example is accounted for by Sunada's method of constructing isospectral manifolds, and even then only as an "unnatural" construction.

Pages

21

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