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Isospectral families of conformally equivalent Riemannian metrics
Author(s):
Robert
Brooks;
Carolyn
Gordon
Journal:
Bull. Amer. Math. Soc.
23
(1990),
433-436.
MSC (1985):
Primary 58G99
MathSciNet review:
1033084
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References |
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Additional information
References:
- [Ber] P. Bérard, Variétés Riemanniennes isospectrales non-isométriques, Seminaire Bourbaki no. 705 (March 1989). MR 1040571
- [B] R. Brooks, On manifolds of negative curvature with isospectral potentials, Topology 26 (1987), 63-66. MR 880508
- [BT] R. Brooks and R. Tse, Isospectral surfaces of small genus, Nagoya Math. J. 107 (1987), 13-24. MR 909246
- [BPY] R. Brooks, P. Perry, and P. Yang, Isospectral sets of conformally equivalent metrics, Duke Math. J. 58 (1989), 131-150. MR 1016417
- [DG1] D. DeTurck and C. Gordon, Isospectral deformations Part I: Riemannian structures on two-step nilspaces, Comm. Pure Appl. Math. 40 (1987), 367-387. MR 882070
- [DG2] D. DeTurck and C. Gordon, Isospectral deformations Part II: Trace formulas, metrics, and potentials, Comm. Pure Appl. Math. 42 (1989), 1067-1096. MR 1029118
- [Mi] J. Milnor, Curvatures of left invariant metrics on Lie groups, Adv. in Math. 21 (1976), 293-329. MR 425012
- [S] T. Sunada, Riemannian coverings and isospectral manifolds, Ann. of Math. 121 (1985), 169-186. MR 782558
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Additional Information:
DOI:
10.1090/S0273-0979-1990-15952-X
PII:
S 0273-0979(1990)15952-X
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