Non-isometric Riemannian G-Manifolds with Equal Equivariant Spectra
Author:
Funder
National Nature Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Statistics and Probability
Link
http://link.springer.com/content/pdf/10.1007/s40304-018-0149-6.pdf
Reference18 articles.
1. Adelstein, I.M., Sandoval, M.R.: The $$G$$ G -invariant spectrum and non-orbifold singularities. Arch. Math. 109(6), 563–573 (2017)
2. An, J.P., Yu, J.K., Yu, J.: On the dimension datum of a subgroup and its application to isospectral manifolds. J. Differ. Geom. 94(1), 59–85 (2013)
3. Deturck, D.M., Gordon, C.S.: Isospectral deformations I: Riemannian structures on two-step nilspaces. Commun. Pure Appl. Math. 40(3), 367–387 (1987)
4. Donelly, H.: $$G$$ G -spaces, the asymptotic splitting of $$L^2(M)$$ L 2 ( M ) into irreducibles. Math. Ann. 237, 23–40 (1978)
5. Dryden, E.B., Guillemin, V., Sena-Dias, R.: Hearing Delzant polytopes from the equivariant spectrum. Trans. Am. Math. Soc. 364(2), 887–910 (2012)
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