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MR1029118 (91e:58197) 58G25 (53C20)
DeTurck, Dennis M.; Gordon, Carolyn S. Isospectral deformations. II. Trace formulas, metrics, and potentials. With an appendix by Kyung Bai Lee. Comm. Pure Appl. Math. 42 (1989), no. 8, 1067–1095.
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