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.
Recommended Citation
Chen, Sheng, "Constructing Isospectral but Nonisometric Riemannian Manifolds." (1990). LSU Historical Dissertations and Theses. 4975.
https://repository.lsu.edu/gradschool_disstheses/4975
Pages
21
DOI
10.31390/gradschool_disstheses.4975
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