Transplantation et isospectralité I

Pierre Bérard

Séminaire de théorie spectrale et géométrie (1990-1991)

  • Volume: 9, page 153-175
  • ISSN: 1624-5458

How to cite

top

Bérard, Pierre. "Transplantation et isospectralité I." Séminaire de théorie spectrale et géométrie 9 (1990-1991): 153-175. <http://eudml.org/doc/114312>.

@article{Bérard1990-1991,
author = {Bérard, Pierre},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {Sunada's theorem; isospectral manifolds; eigenvalue spectrum; length spectrum; non-smooth metrics; natural operators; non-isometric complete non-compact manifolds},
language = {fre},
pages = {153-175},
publisher = {Institut Fourier},
title = {Transplantation et isospectralité I},
url = {http://eudml.org/doc/114312},
volume = {9},
year = {1990-1991},
}

TY - JOUR
AU - Bérard, Pierre
TI - Transplantation et isospectralité I
JO - Séminaire de théorie spectrale et géométrie
PY - 1990-1991
PB - Institut Fourier
VL - 9
SP - 153
EP - 175
LA - fre
KW - Sunada's theorem; isospectral manifolds; eigenvalue spectrum; length spectrum; non-smooth metrics; natural operators; non-isometric complete non-compact manifolds
UR - http://eudml.org/doc/114312
ER -

References

top
  1. [AU] AUBIN TH. - Nonlinear analysis on manifolds, Monge-Ampère equations, Springer, 1982. Zbl0512.53044MR681859
  2. [BA] BAIDER A. - Noncompact Riemannian Manifolds with Discrete Spectra, J. Differential Geom., 14 ( 1979). 41-57. Zbl0411.58022MR577877
  3. [BD 1] BÉRARD P. - Variétés riemanniennes isospectrales non isométriques, Astérisque , 177-178 ( 1989), 127-154. Zbl0703.53035MR1040571
  4. [BD 2] BÉRARD P. - Spectral geometry : Direct and Inverse problems, Lect. Note in Math. 1207, Springer, 1986. Zbl0608.58001MR861271
  5. [BD 3] BÉRARD P. - Transplantation et Isospectralité II, pretirage Institut Fourier 1991. Zbl0767.58042MR1715939
  6. [BR] BROOKS R. - Constructing isospectral manifolds, Amer. Math. Monthly, 95 ( 1988), 823-839. Zbl0673.58046MR967343
  7. [B-T] BROOKS R., TSE R. - Isospectral surfaces of small genus, Nagoya Math. J., 107 ( 1987), 13-24. Zbl0605.58041MR909246
  8. [BU 1] BUSER P. - Isospectral Riemann surfaces, Ann. Inst. Fourier, 36 ( 1986), 167-192. Zbl0579.53036MR850750
  9. [BU 2] BUSER P. - Cayley graphs and planar isospectral domains, Proc. Taniguchi Symp. "Geometry and Analysis on manifolds", Lecture Notes in Math. Springer , 1339 ( 1988), 64-77. Zbl0647.53034MR961473
  10. [BU 3] BUSER P. - Geometry and spectrum of compact Riemann surfaces, livre en préparation. Zbl0770.53001
  11. [CH] CHAVEL I. - Eigenvalues in Riemannian Geometry, Acad. Press, 1984. Zbl0551.53001MR768584
  12. [CV] COLIN DE VERDIÈRE Y. - Pseudo-laplaciens II, Ann. Inst. Fourier (Grenoble) , 33 ( 1983). 87-113. Zbl0496.58016MR699488
  13. [D-G I] DE TURCK D. , GORDON S. - Isospectral Déformations I : Riemannian Structures on Two-Step Nilspaces, Comm. Pure Appl. Math., 40 ( 1987), 367-387. Zbl0649.53025MR882070
  14. [D-G II] DE TURCK D. , GORDON S. - Isospectral Deformations II : Trace Formulas, Metries, and Potentials, Comm. Pure Appl. Math., 42 ( 1989), 1067-1095. Zbl0709.53030MR1029118
  15. [GO] GORDON C.S. - The Laplace spectrum versus the length spectra of Riemannian manifolds, in Nonlinear Problems in Geometry (D.M. De Turck, éd.) Contemporary Math., 51 ( 1986), 63-80. Zbl0591.53042MR848934
  16. [G-W-W] GORDON C.S., WEBB D., WOLPERT S. - One can't hear the shape of a drum, Annonce de Recherche 1991. Zbl0756.58049MR1136137
  17. [MR] MÜLLER W. - Spectral geometry and scattering theory for certain complete surfaces of finite volume, Prétirage 1991. Zbl0772.58063MR1172692
  18. [SE] SERRE J.- P. - Linear representations of finite groups, Springer, 1977. Zbl0355.20006MR450380
  19. [SU] SUNADA T. - Riemannian coverings and isospectral manifolds, Annals of Math., 121 ( 1985), 169-186. Zbl0585.58047MR782558
  20. [ZE 1] ZELDITCH S. - Isospectrality in the category of F.I.O, Prétirage 1989. 
  21. [ZE 2] ZELDITCH S. - Kuznecov Sum formula on Manifolds, Prétirage 1989. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.