论文信息 - Contemporary Mathematics Finite Part of Spectrum and Isospectrality

Contemporary Mathematics Finite Part of Spectrum and Isospectrality

We study geometric conditions under which finitely many eigenvalues are sufficient to determine all spectral data. We also discuss briefly the implication of this result to the local structure of moduli space of isopectral metrics.

X. Dai | G. Wei

[1] Jacqueline Grennon. , 2nd Ed. , 2002, The Journal of nervous and mental disease.

[2] Michael T. Anderson. TheL2 structure of moduli spaces of Einstein metrics on 4-manifolds , 1992 .

[3] P. Petersen,et al. Compactness and finiteness theorems for isospectral manifolds. , 1992 .

[4] Michael T. Anderson. Remarks on the compactness of isospectral sets in low dimensions , 1991 .

[5] Michael T. Anderson. Convergence and rigidity of manifolds under Ricci curvature bounds , 1990 .

[6] P. Buser,et al. Finite parts of the spectrum of a Riemann surface , 1990 .

[7] S. Chang,et al. Isospectral conformal metrics on 3-manifolds , 1990 .

[8] P. Perry,et al. Isospectral sets of conformally equivalent metrics , 1989 .

[9] Peter Sarnak,et al. Compact isospectral sets of surfaces , 1988 .

[10] Arthur L. Besse,et al. Einstein Manifolds and Topology , 1987 .

[11] Y. C. Verdière,et al. Construction de laplaciens dont une partie finie du spectre est donnée , 1987 .

[12] P. Buser. Sur le spectre de longueurs des surfaces de Riemann , 1981 .