Compactness of isospectral sets

Robert Brooks

Séminaire de théorie spectrale et géométrie (1991)

  • Volume: S9, page 39-42
  • ISSN: 1624-5458

How to cite


Brooks, Robert. "Compactness of isospectral sets." Séminaire de théorie spectrale et géométrie S9 (1991): 39-42. <>.

author = {Brooks, Robert},
journal = {Séminaire de théorie spectrale et géométrie},
language = {eng},
pages = {39-42},
publisher = {Institut Fourier},
title = {Compactness of isospectral sets},
url = {},
volume = {S9},
year = {1991},

AU - Brooks, Robert
TI - Compactness of isospectral sets
JO - Séminaire de théorie spectrale et géométrie
PY - 1991
PB - Institut Fourier
VL - S9
SP - 39
EP - 42
LA - eng
UR -
ER -


  1. [B] R. Brooks, "Constructing Isospectral Manifolds," Amer. Math. Month. 95 ( 1988), pp. 823-839 Zbl0673.58046MR967343
  2. [BPP] R. Brooks, P. Perry, and P. Petersen, "Compactness and Finiteness Theorems for Isospectral Manifolds," preprint. Zbl0737.53038
  3. [Ch] J. Cheeger, "Finiteness Theorems for Riemannian Manifolds," Amer. J. Math. 92 ( 1970), pp. 61-74 Zbl0194.52902MR263092
  4. [Cg] S.Y. Cheng, "Eigenvalue Comparison Theorems and its Geometric Applications," Math. Zeit. 143( 1975) pp. 289-297 Zbl0329.53035MR378001
  5. [Gi] P. Gilkey, "Leading Terms in the Asymptotics of the Heat Equation," in R. Durrett and M. Pinsky, Geometry of Random Motion. Contemp. Math 73 ( 1988), pp.7 Zbl0661.58034MR954631
  6. [OPS] Osgood, R. Phillips, and P. Sarnak, "Compact Isospectral Sets of Surfaces," J. Funct. Anal. 80 ( 1988), pp. 212-234 Zbl0653.53021MR960229
  7. [Su] T. Sunada, "Riemannian Coverings and Isospectral Manifolds," Ann. Math. 121 ( 1985), pp. 169 - 186 Zbl0585.58047MR782558

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