@article{ASENS_1992_4_25_5_515_0,
author = {Pesce, Hubert},
title = {D\'eformations isospectrales sur certaines nilvari\'et\'es et finitude spectrale des vari\'et\'es de {Heisenberg}},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {515--538},
year = {1992},
publisher = {Elsevier},
volume = {4e s{\'e}rie, 25},
number = {5},
doi = {10.24033/asens.1657},
mrnumber = {94c:58214},
zbl = {0777.58008},
language = {fr},
url = {https://www.numdam.org/articles/10.24033/asens.1657/}
}
TY - JOUR AU - Pesce, Hubert TI - Déformations isospectrales sur certaines nilvariétés et finitude spectrale des variétés de Heisenberg JO - Annales scientifiques de l'École Normale Supérieure PY - 1992 SP - 515 EP - 538 VL - 25 IS - 5 PB - Elsevier UR - https://www.numdam.org/articles/10.24033/asens.1657/ DO - 10.24033/asens.1657 LA - fr ID - ASENS_1992_4_25_5_515_0 ER -
%0 Journal Article %A Pesce, Hubert %T Déformations isospectrales sur certaines nilvariétés et finitude spectrale des variétés de Heisenberg %J Annales scientifiques de l'École Normale Supérieure %D 1992 %P 515-538 %V 25 %N 5 %I Elsevier %U https://www.numdam.org/articles/10.24033/asens.1657/ %R 10.24033/asens.1657 %G fr %F ASENS_1992_4_25_5_515_0
Pesce, Hubert. Déformations isospectrales sur certaines nilvariétés et finitude spectrale des variétés de Heisenberg. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 25 (1992) no. 5, pp. 515-538. doi: 10.24033/asens.1657
[1] , et , Le spectre d'une variété riemanienne (Lecture Notes in Math., Springer, 194, 1971). | Zbl | MR
[2] , Introduction aux groupes arithmétiques, Hermann, Actualités scientifiques et industrielles, 1341. | Zbl | MR
[3] et , Isospectral Deformations II : Trace Formulas, Metrics and Potentials (Comm. Pure Appl. Math., vol. 40, 1987, p. 367-387). | Zbl | MR
[4] , Geometry of 2-Step Nilpotent Groups with a Left Invariant Metric, Preprint de l'Université de Caroline du Nord.
[5] et , Isospectral Deformations of Compact Solvmanifolds (J. Differential Geom., vol. 19, 1984, p. 241-256). | Zbl | MR
[6] et , Isometry Groups of Solvmanifolds (Trans. Amer. Math. Soc., vol. 307, 1988, p. 245-256). | Zbl | MR
[7] et , The Spectrum of the Laplacian on Riemannian Heisenberg Manifolds (Michigan Math. J., vol. 33, 1986, p. 253-271). | Zbl | MR
[8] et , Some Inverse Spectral Results for Negatively Curved n-Manifolds (Proc. Symp. Pure Math., Geometry of the Laplace Operator, Amer. Math. Soc., vol. 36, 1980, p. 153-180). | Zbl | MR
[9] et , Some Inverse Spectral Results for Negatively Curved 2-Manifolds (Topology, vol. 19, 1980, p. 153-180). | Zbl
[10] , Isospectral Problem for Spherical Space Forms, in Spectra of Riemannian Manifolds, M. BERGER, S. MURAKANI et T. OCHIAI éd. ; Kaigai Publication, 1983, p. 57-63.
[11] , Riemannian Nilmanifolds Attached to Clifford Modules (Geom. Dedicata, vol. 11, 1981, p. 127-136). | Zbl | MR
[12] , Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratics Forms (Trans. Amer. Math. Soc., vol. 258, n° 1, mars 1980). | Zbl | MR
[13] , Positive Definite Quadratic Form with Same Representation Numbers (Arch. Math., vol. 28, 1977, p. 495-497). | Zbl | MR
[14] , Eigenvalues of the Laplace Operator on Certain Manifolds (Proc. Nat. Acad. Sci., vol. 51, 1964, p. 542). | Zbl | MR
[15] , Curvatures of Left Invariant Metrics on Lie Groups (Advances in mathematics, vol. 21, 1976, p. 293-329). | Zbl | MR
[16] , Spectral Rigidity for Manifolds with Negative Curvature Operator (Contemp. Math. Nonlinear Problems in Geometry, vol. 51, 1986, p. 99-103). | Zbl | MR
[17] , Discrete Subgroups of Lie Groups, Springer-Verlag, New York, 1972. | Zbl | MR
[18] , Riemannian Covering and Isospectral Manifolds (Ann. of Math., vol. 121, 1985, p. 169-186). | Zbl | MR
[19] , Variétés riemanniennes isospectrales et non isométriques (Ann. of Math., vol. 112, 1980, p. 21-32). | Zbl | MR
[20] , The Eigenvalues Spectrum as Moduli for Flat Tori (Trans. Amer. Math. Soc., vol. 244, 1978, p. 313-321). | Zbl | MR
[21] , The Length Spectrum as Moduli for Compact Riemann Surfaces (Ann. of Math., vol. 109, 1979, p. 323-351). | Zbl | MR
Cité par Sources :






