Abstract
I discuss two general methods, namely Sunada’s method and a more recent method, due to Gordon and Schueth, for the construction of isospectral closed Riemannian manifolds. I prove a theorem unifying and extending the two methods and apply it to obtain isospectral metrics on S 2 × S 3.
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Ballmann, W. (2004). On the Construction of Isospectral Manifolds. In: Croke, C.B., Vogelius, M.S., Uhlmann, G., Lasiecka, I. (eds) Geometric Methods in Inverse Problems and PDE Control. The IMA Volumes in Mathematics and its Applications, vol 137. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9375-7_1
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