Constructing isospectral but nonisometric Riemannian manifolds

Sheng Chen
1992 Canadian mathematical bulletin  
A Bell & Howell Inform ation C o m p a n y 3 0 0 North Z e e b R o ad , Ann Arbor, Ml 4 8 1 0 6 -1 3 4 6 USA 3 1 3 /7 6 1 -4 7 0 0 8 0 0 /5 2 1 -0 6 0 0 Order N um b er 0112222 C onstructing isospectral bu t nonisom etric R iem annian m anifolds for their valuable discussion. I am deeply indebted to my dear wife, Weizhen Gu, for her consistent support and encouragement. In this paper, we examine the examples of isospectral but non-isometric Riemannian manifolds given by Milnor, Ikeda, and
more » ... r, 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.
doi:10.4153/cmb-1992-042-1 fatcat:yi2ia7s2qjdvfhfstxyo3edsau