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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

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 | Similar articles | 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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