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Constructing Isospectral But Non-Isometric Riemannian Manifolds

Published online by Cambridge University Press:  20 November 2018

Sheng Chen
Sheng Chen*
Affiliation:
Department of Mathematics Southwest Texas State University San Marcos, Texas 78666 U.S.A.
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Abstract

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In this paper we examine the examples of isospectral but non-isometric Riemannian manifolds given by Milnor, Ikeda, and Vignéras. 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.

Keywords

53C2020F3411R52
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 3 , 01 September 1992 , pp. 303 - 310
Copyright
Copyright © Canadian Mathematical Society 1992

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