On isospectral deformations of riemannian metrics

Ruishi Kuwabara

Compositio Mathematica (1980)

• Volume: 40, Issue: 3, page 319-324
• ISSN: 0010-437X

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Kuwabara, Ruishi. "On isospectral deformations of riemannian metrics." Compositio Mathematica 40.3 (1980): 319-324. <http://eudml.org/doc/89441>.

@article{Kuwabara1980,
author = {Kuwabara, Ruishi},
journal = {Compositio Mathematica},
keywords = {Isospectral Deformations; Riemannian Metrics; Spectrum of Laplacian; Flat Torus},
language = {eng},
number = {3},
pages = {319-324},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {On isospectral deformations of riemannian metrics},
url = {http://eudml.org/doc/89441},
volume = {40},
year = {1980},
}

TY - JOUR
AU - Kuwabara, Ruishi
TI - On isospectral deformations of riemannian metrics
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 40
IS - 3
SP - 319
EP - 324
LA - eng
KW - Isospectral Deformations; Riemannian Metrics; Spectrum of Laplacian; Flat Torus
UR - http://eudml.org/doc/89441
ER -

References

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1. [1] M. Berger, P. Gauduchon and E. Mazet: Le spectre d'une variété riemannienne. Lecture Notes in Mathematics194. Springer Verlag, 1971. Zbl0223.53034MR282313
2. [2] N. Koiso: Non-deformability of Einstein metrics, Osaka J. Math.15 (1978) 419-433. Zbl0392.53030MR504300
3. [3] M. Berger and D. Ebin: Some decompositions of the space of symmetric tensors on a Riemannian manifold. J. Diff. Geom.3 (1969) 379-392. Zbl0194.53103MR266084
4. [4] S. Tanno: Eigenvalues of the Laplacian of Riemannian manifolds. Tôhoku Math. Journ.25 (1973) 391-403. Zbl0266.53033MR334086
5. [5] G.D. Mostow: Strong rigidity of locally symmetric spaces. Princeton, 1973. Zbl0265.53039MR385004
6. [6] S. Tanaka: Selberg's trace formula and spectrum. Osaka J. Math.3 (1966) 205-216. Zbl0202.11601MR217221
7. [7] T. Sunada: Spectrum of a compact flat manifold (preprint). Zbl0422.53023MR511851
8. [8] M. Berger: Sur les premières valeurs propres des variétés riemanniennes. Compositio Math.26 (1973) 129-149. Zbl0257.53048MR316913
9. [9] M. Obata: Certain conditions for a Riemannian manifold to be isometric with a sphere. J. Math. Soc. Japan14 (1962) 333-340. Zbl0115.39302MR142086

Citations in EuDML Documents

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1. Ruishi Kuwabara, On isospectral deformations of riemannian metrics. II
2. Pierre Bérard, Variétés riemanniennes isospectrales non isométriques

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