Compactness of isospectral sets
Brooks, Robert
Séminaire de théorie spectrale et géométrie, Tome S9 (1991), p. 39-42 / Harvested from Numdam
Publié le : 1991-01-01
@article{TSG_1991__S9__39_0,
     author = {Brooks, Robert},
     title = {Compactness of isospectral sets},
     journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie},
     volume = {S9},
     year = {1991},
     pages = {39-42},
     language = {en},
     url = {http://dml.mathdoc.fr/item/TSG_1991__S9__39_0}
}
Brooks, Robert. Compactness of isospectral sets. Séminaire de théorie spectrale et géométrie, Tome S9 (1991) pp. 39-42. http://gdmltest.u-ga.fr/item/TSG_1991__S9__39_0/

[B] R. Brooks, "Constructing Isospectral Manifolds," Amer. Math. Month. 95 ( 1988), pp. 823-839 | MR 967343 | Zbl 0673.58046

[BPP] R. Brooks, P. Perry, and P. Petersen, "Compactness and Finiteness Theorems for Isospectral Manifolds," preprint. | Zbl 0737.53038

[Ch] J. Cheeger, "Finiteness Theorems for Riemannian Manifolds," Amer. J. Math. 92 ( 1970), pp. 61-74 | MR 263092 | Zbl 0194.52902

[Cg] S.Y. Cheng, "Eigenvalue Comparison Theorems and its Geometric Applications," Math. Zeit. 143( 1975) pp. 289-297 | MR 378001 | Zbl 0329.53035

[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 | MR 954631 | Zbl 0661.58034

[OPS] Osgood, R. Phillips, and P. Sarnak, "Compact Isospectral Sets of Surfaces," J. Funct. Anal. 80 ( 1988), pp. 212-234 | MR 960229 | Zbl 0653.53021

[Su] T. Sunada, "Riemannian Coverings and Isospectral Manifolds," Ann. Math. 121 ( 1985), pp. 169 - 186 | MR 782558 | Zbl 0585.58047