@article{ASENS_1980_4_13_3_303_0, author = {Ikeda, Akira}, title = {On lens spaces which are isospectral but not isometric}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {303--315}, publisher = {Elsevier}, volume = {Ser. 4, 13}, number = {3}, year = {1980}, doi = {10.24033/asens.1384}, mrnumber = {83a:58091}, zbl = {0451.58037}, language = {en}, url = {http://www.numdam.org/articles/10.24033/asens.1384/} }
TY - JOUR AU - Ikeda, Akira TI - On lens spaces which are isospectral but not isometric JO - Annales scientifiques de l'École Normale Supérieure PY - 1980 SP - 303 EP - 315 VL - 13 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.24033/asens.1384/ DO - 10.24033/asens.1384 LA - en ID - ASENS_1980_4_13_3_303_0 ER -
%0 Journal Article %A Ikeda, Akira %T On lens spaces which are isospectral but not isometric %J Annales scientifiques de l'École Normale Supérieure %D 1980 %P 303-315 %V 13 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.24033/asens.1384/ %R 10.24033/asens.1384 %G en %F ASENS_1980_4_13_3_303_0
Ikeda, Akira. On lens spaces which are isospectral but not isometric. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 13 (1980) no. 3, pp. 303-315. doi : 10.24033/asens.1384. http://www.numdam.org/articles/10.24033/asens.1384/
[1] Le spectre d'une variété riemannienne (Lecture Notes in Math., No. 194, Springer-Verlag, Berlin-Heidelberg-New York, 1971). | MR | Zbl
, and ,[2] A Course in Simple-Homotopy Theory, Graduate Texts in Mathematics, Vol. 10, Springer-Verlag, New York-Heidelberg-Berlin, 1970. | MR | Zbl
,[3] Torsion et type simple d'homotopie (Lecture Notes in Math., No. 48, Springer-Verlag, Berlin-Heidelberg-New York, 1967). | MR | Zbl
, and ,[4] A Construction of Non-Flat, Compact Irreducible Riemannian Manifolds Which are Isospectral but not Isometric (Math. Z., Vol. 212, 1979, pp. 207-212). | MR | Zbl
,[5] An Introduction to the Theory of Numbers, Oxford Univ. Press, 1960. | Zbl
and ,[6] On the Spectra of 3-Dimensional Lens Spaces (Osaka J. Math., Vol. 16, 1979, pp. 447-469). | MR | Zbl
and ,[7] On the Spectrum of a Riemannian Manifold of Positive Constant Curvature (Osaka J. Math., Vol. 17, 1980, pp. 75-93). | MR | Zbl
,[8] On the Spectrum of a Riemannian Manifold of Positive Constant Curvature. II (to appear).
,[9] Eigenvalues of the Laplace Operator on Certain Manifolds (Proc. Nat. Sc. U.S.A., Vol. 51, 1964, p. 542). | MR | Zbl
,[10] Reidemeister Torsion and the Laplacien on Lens Spaces (Advances in Math., Vol. 4, 1970, pp. 109-126). | MR | Zbl
,[11] Compact Riemannian Manifolds which are Isospectral to Three Dimensional Lens Spaces. II (Proc. Fac. Sc. Tokai Univ., Vol. XIV, 1978, pp. 11-34). | MR | Zbl
,[12] Eigenvalues of the Laplacian of Riemannian Manifolds (Tôhoku Math. J., Vol. 25, 1973, pp. 391-403). | MR | Zbl
,[13] Exemples de sous-groupes discrets non conjugués de PSL (2, R) qui ont même fonction zêta de Selberg (C.R. Acad. Sc., T. 287, série A, 1978, pp. 47-49). | MR | Zbl
,[14] On the Number of Lattice Points in the Square |x| + |y| ≦ u with a Certain Congruence Condition (Osaka J. Math., Vol. 17, 1980, pp. 9-21). | MR | Zbl
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