Voir la notice de l'article provenant de la source Cambridge University Press
Chen, Sheng. Constructing Isospectral But Non-Isometric Riemannian Manifolds. Canadian mathematical bulletin, Tome 35 (1992) no. 3, pp. 303-310. doi: 10.4153/CMB-1992-042-1
@article{10_4153_CMB_1992_042_1,
author = {Chen, Sheng},
title = {Constructing {Isospectral} {But} {Non-Isometric} {Riemannian} {Manifolds}},
journal = {Canadian mathematical bulletin},
pages = {303--310},
year = {1992},
volume = {35},
number = {3},
doi = {10.4153/CMB-1992-042-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-042-1/}
}
TY - JOUR AU - Chen, Sheng TI - Constructing Isospectral But Non-Isometric Riemannian Manifolds JO - Canadian mathematical bulletin PY - 1992 SP - 303 EP - 310 VL - 35 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-042-1/ DO - 10.4153/CMB-1992-042-1 ID - 10_4153_CMB_1992_042_1 ER -
[1] 1. Boothby, W. M., An introduction to differentiable manifolds and Riemannian geometry , Academic Press, New York, 1975. Google Scholar
[2] 2. Brooks, R., Constructing isospectral manifolds, Amer. Math. Monthly, Vol. 95,8(1988), 823–839. Google Scholar
[3] 3. Buser, P., Isospectral Riemann surfaces , Ann. Inst. Fourier XXXVI( 1986), 167–192. Google Scholar
[4] 4. DeTurck, D. and Gordon, C., Isospectral deformations: Parti: Riemannian structures on two-step nilspaces, Comm. Pure. Appl. Math., 40(1987),367–387. Google Scholar
[5] 5. De Turck, D. and Gordon, C., Isospectral metric and finite Riemannian covering, Contemp. Math., 64(1987), 79–92. Google Scholar
[6] 6. Gordon, C. and Wilson, E., Isospectral deformations of compact solvmanifolds, J. Diff. Geom., 19(1984), 241–256. Google Scholar
[7] 7. Ikeda, A., On lens spaces which are isospectral but not isometric, Ann. Scient. E. Norm. Sup 13(1980), 303–315. Google Scholar
[8] 8. Milnor, J., Eigenvalues of the Laplace operators on certain manifolds , Proc. Nat. Acad. Sci. USA. 51(1964), 542. Google Scholar
[9] 9. O'Meara, O. T., Introduction to quadratic forms , Springer, New York, (1973). Google Scholar
[10] 10. Perlis, R., On the equation ζ(s) = ζ′(s), J. NumberTh. (3) 9(1977), 342–360. Google Scholar
[11] 11. Serre, J. -P., A course in arithmetic , Springer, New York, (1973). Google Scholar
[12] 12. Sunada, T., Riemannian coverings and isospectral manifolds, Ann. Math. 121(1985), 169–186. Google Scholar
[13] 13. Vignéras, M. F., Arithmétique des algèbres de quaternions , Springer-Verlag Lecture Notes 800(1980). Google Scholar
[14] 14. Vignéras, M. F., Variétés riemaniennes isospectrales et non isométriques, Ann. of Math. 112(1980), 21–32. Google Scholar
Cité par Sources :