-
1
-
-
0003308484
-
Spectral geometry: Direct and inverse problems
-
Springer, New York
-
P. Bérard, Spectral geometry: direct and inverse problems, Lecture Notes in Math., 1207, Springer, New York, 1980.
-
(1980)
Lecture Notes in Math.
, vol.1207
-
-
Bérard, P.1
-
2
-
-
0000576273
-
Variétés Riemanniennes isospectrales non isométriques
-
_, Variétés Riemanniennes isospectrales non isométriques, Astérisque 177/178 (1989), 127-154.
-
(1989)
Astérisque
, vol.177-178
, pp. 127-154
-
-
-
4
-
-
0003259113
-
Le spectre d'une variété riemannienne
-
Springer, New York
-
M. Berger, P. Gauduchon, and E. Mazet, Le spectre d'une variété Riemannienne, Lecture Notes in Math., 194, Springer, New York, 1971.
-
(1971)
Lecture Notes in Math.
, vol.194
-
-
Berger, M.1
Gauduchon, P.2
Mazet, E.3
-
5
-
-
84968494850
-
Isospectral families of conformally equivalent Riemannian metrics
-
R. Brooks and C. Gordon, Isospectral families of conformally equivalent Riemannian metrics, Bull. Amer. Math. Soc. (N.S.) 23 (1990), 433-436.
-
(1990)
Bull. Amer. Math. Soc. (N.S.)
, vol.23
, pp. 433-436
-
-
Brooks, R.1
Gordon, C.2
-
6
-
-
84972542062
-
Isospectral surfaces of small genus
-
R. Brooks and R. Tse, Isospectral surfaces of small genus, Nagoya Math. J. 107 (1987), 13-24.
-
(1987)
Nagoya Math. J.
, vol.107
, pp. 13-24
-
-
Brooks, R.1
Tse, R.2
-
7
-
-
0002016503
-
Isospectral Riemann surfaces
-
P. Buser, Isospectral Riemann surfaces, Ann. Inst. Fourier (Grenoble) 36 (1986), 167-192.
-
(1986)
Ann. Inst. Fourier (Grenoble)
, vol.36
, pp. 167-192
-
-
Buser, P.1
-
11
-
-
84990553248
-
Isospectral deformations I: Riemannian structures on two-step nilspaces
-
D. DeTurck and C. S. Gordon, Isospectral deformations I: Riemannian structures on two-step nilspaces, Comm. Pure Appl. Math. 40 (1987), 367-387.
-
(1987)
Comm. Pure Appl. Math.
, vol.40
, pp. 367-387
-
-
DeTurck, D.1
Gordon, C.S.2
-
12
-
-
84990553477
-
Isospectral deformations II: Trace formulas, metrics, and potentials
-
_, Isospectral deformations II: trace formulas, metrics, and potentials, Comm. Pure Appl. Math. 42 (1989), 1067-1095.
-
(1989)
Comm. Pure Appl. Math.
, vol.42
, pp. 1067-1095
-
-
-
13
-
-
0001896619
-
Geometry of 2-step nilpotent groups with a left invariant metric
-
P. Eberlein, Geometry of 2-step nilpotent groups with a left invariant metric, Ann. Sci. École Norm. Sup. (4) 27 (1994), 611-660.
-
(1994)
Ann. Sci. École Norm. Sup.
, vol.27
, Issue.4
, pp. 611-660
-
-
Eberlein, P.1
-
14
-
-
0004265476
-
-
Springer, New York
-
S. Gallot, D. Hulin, and J. Lafontaine, Riemannian geometry, Springer, New York, 1987.
-
(1987)
Riemannian Geometry
-
-
Gallot, S.1
Hulin, D.2
Lafontaine, J.3
-
15
-
-
0002203844
-
The Laplace spectra versus the length spectra of Riemannian manifolds
-
Amer. Math. Soc., Providence, RI
-
C. S. Gordon, The Laplace spectra versus the length spectra of Riemannian manifolds, Contemp. Math., 51, pp. 63-79, Amer. Math. Soc., Providence, RI, 1986.
-
(1986)
Contemp. Math.
, vol.51
, pp. 63-79
-
-
Gordon, C.S.1
-
16
-
-
84972513708
-
Riemannian manifolds isospectral on functions but not on 1-forms
-
_, Riemannian manifolds isospectral on functions but not on 1-forms, J. Differential Geom. 24 (1986), 79-96.
-
(1986)
J. Differential Geom.
, vol.24
, pp. 79-96
-
-
-
17
-
-
84972508721
-
Isospectral closed Riemannian manifolds which are not locally isometric
-
_, Isospectral closed Riemannian manifolds which are not locally isometric, J. Differential Geom. 37 (1993), 639-649.
-
(1993)
J. Differential Geom.
, vol.37
, pp. 639-649
-
-
-
18
-
-
0000944178
-
Isospectral closed Riemannian manifolds which are not locally isometric: II, geometry of the spectrum
-
Amer. Math. Soc., Providence, RI
-
_, Isospectral closed Riemannian manifolds which are not locally isometric: II, Geometry of the spectrum (R. Brooks, C. S. Gordon, P. Perry, eds.), Contemp. Math. 173, pp. 121-131, Amer. Math. Soc., Providence, RI, 1994.
-
(1994)
Contemp. Math.
, vol.173
, pp. 121-131
-
-
Brooks, R.1
Gordon, C.S.2
Perry, P.3
-
20
-
-
84966244146
-
Isospectral convex domains in the hyperbolic plane
-
C. S. Gordon and D. Webb, Isospectral convex domains in the hyperbolic plane, Proc. Amer. Math. Soc. 120 (1994), 981-983.
-
(1994)
Proc. Amer. Math. Soc.
, vol.120
, pp. 981-983
-
-
Gordon, C.S.1
Webb, D.2
-
21
-
-
0000327463
-
Isospectral convex domains in Euclidean space
-
_, Isospectral convex domains in Euclidean space, Math. Res. Letters 1 (1994), 539-545.
-
(1994)
Math. Res. Letters
, vol.1
, pp. 539-545
-
-
-
22
-
-
33746818176
-
Isospectral plane domains and surfaces via Riemannian orbifolds
-
C. S. Gordon, D. Webb, and S. Wolpert, Isospectral plane domains and surfaces via Riemannian orbifolds, Invent. Math. 110 (1992), 1-22.
-
(1992)
Invent. Math.
, vol.110
, pp. 1-22
-
-
Gordon, C.S.1
Webb, D.2
Wolpert, S.3
-
23
-
-
84972492525
-
Isospectral deformations of compact solvmanifolds
-
C. S. Gordon and E. N. Wilson, Isospectral deformations of compact solvmanifolds, J. Differential Geom. 19 (1984), 241-256.
-
(1984)
J. Differential Geom.
, vol.19
, pp. 241-256
-
-
Gordon, C.S.1
Wilson, E.N.2
-
24
-
-
0002762226
-
The spectrum of the Laplacian on Riemannian Heisenberg manifolds
-
_, The spectrum of the Laplacian on Riemannian Heisenberg manifolds, Mich. Math. J. 33 (1986), 253-271.
-
(1986)
Mich. Math. J.
, vol.33
, pp. 253-271
-
-
-
27
-
-
38149143483
-
Equivalence of quasi-regular representations of two and three-step nilpotent Lie groups
-
_, Equivalence of quasi-regular representations of two and three-step nilpotent Lie groups, J. Functional Analysis 119 (1994), 121-137.
-
(1994)
J. Functional Analysis
, vol.119
, pp. 121-137
-
-
-
28
-
-
0000063585
-
The length spectrum and representation theory on two and threestep nilpotent Lie groups
-
Geometry of the spectrum (R. Brooks, C. S. Gordon, P. Perry, eds.), Amer. Math. Soc., Providence, RI
-
_, The length spectrum and representation theory on two and threestep nilpotent Lie groups, Geometry of the spectrum (R. Brooks, C. S. Gordon, P. Perry, eds.), Contemp. Math., 173, pp. 133-155, Amer. Math. Soc., Providence, RI, 1994.
-
(1994)
Contemp. Math.
, vol.173
, pp. 133-155
-
-
-
29
-
-
0011322957
-
The marked length spectrum vs. the p-form spectrum of Riemannian nilmanifolds
-
to appear
-
_, The marked length spectrum vs. the p-form spectrum of Riemannian nilmanifolds, Comment. Math. Helv. (to appear).
-
Comment. Math. Helv.
-
-
-
30
-
-
0000724781
-
On Frobenius reciprocity for unipotent algebraic groups over Q
-
R. Howe, On Frobenius reciprocity for unipotent algebraic groups over Q, Amer. J. Math. 93 (1971), 163-172.
-
(1971)
Amer. J. Math.
, vol.93
, pp. 163-172
-
-
Howe, R.1
-
31
-
-
84972563804
-
On spherical space forms which are isospectral but not isometric
-
A. Ikeda, On spherical space forms which are isospectral but not isometric, J. Math. Soc. Japan 35 (1983), 437-444.
-
(1983)
J. Math. Soc. Japan
, vol.35
, pp. 437-444
-
-
Ikeda, A.1
-
32
-
-
0000854489
-
Riemannian manifolds p-isospectral but not (p+1)-isospectral
-
Matsumoto, Academic Press, Boston
-
_, Riemannian manifolds p-isospectral but not (p+1)-isospectral, Geometry of manifolds (Matsumoto, 1988), pp. 383-417, Academic Press, Boston, 1989.
-
(1988)
Geometry of Manifolds
, pp. 383-417
-
-
-
33
-
-
0002697827
-
Can one hear the shape of a drum?
-
M. Kac, Can one hear the shape of a drum? Amer. Math. Monthly 73 (1966), 1-23.
-
(1966)
Amer. Math. Monthly
, vol.73
, pp. 1-23
-
-
Kac, M.1
-
34
-
-
0000661044
-
Eigenvalues of the Laplace operator on certain manifolds
-
J. Milnor, Eigenvalues of the Laplace operator on certain manifolds, Proc. Nat. Acad. Sci. U.S.A. 51 (1964), 542.
-
(1964)
Proc. Nat. Acad. Sci. U.S.A.
, vol.51
, pp. 542
-
-
Milnor, J.1
-
35
-
-
0000576695
-
Square integrable representations of nilpotent groups
-
C. C. Moore and J. A. Wolf, Square integrable representations of nilpotent groups, Trans. Amer. Math. Soc. 185 (1973), 445-462.
-
(1973)
Trans. Amer. Math. Soc.
, vol.185
, pp. 445-462
-
-
Moore, C.C.1
Wolf, J.A.2
-
37
-
-
0000093921
-
Déformations isospectrales sur certaines nilvariétés et finitude spectrale des variétés de Heisenberg
-
H. Pesce, Déformations isospectrales sur certaines nilvariétés et finitude spectrale des variétés de Heisenberg, Ann. Sci. École Norm. Sup. (4) 25 (1992), 515-538.
-
(1992)
Ann. Sci. École Norm. Sup.
, vol.25
, Issue.4
, pp. 515-538
-
-
Pesce, H.1
-
38
-
-
0001689432
-
Calcul du spectre d'une nilvariété de rang deux et applications
-
_, Calcul du spectre d'une nilvariété de rang deux et applications, Trans. Amer. Math. Soc. 339 (1993), 433-461.
-
(1993)
Trans. Amer. Math. Soc.
, vol.339
, pp. 433-461
-
-
-
39
-
-
0011326892
-
Variétés isospectrales et representations de groupes
-
Geometry of the spectrum (R. Brooks, C. S. Gordon, P. Perry, eds.), Amer. Math. Soc., Providence, RI
-
_, Variétés isospectrales et representations de groupes, Geometry of the spectrum (R. Brooks, C. S. Gordon, P. Perry, eds.), Contemp. Math., 173, pp. 231-240, Amer. Math. Soc., Providence, RI, 1994.
-
(1994)
Contemp. Math.
, vol.173
, pp. 231-240
-
-
-
40
-
-
0011375213
-
Une formule de poisson pour les variétés de Heisenberg
-
to appear
-
_, Une formule de Poisson pour les variétés de Heisenberg, C. R. Acad. Sci. Paris Sér. I Math, (to appear).
-
C. R. Acad. Sci. Paris Sér. I Math
-
-
-
42
-
-
0011282123
-
2-space of a general compact nilmanifold
-
2-space of a general compact nilmanifold, Amer. J. Math. 93 (1970), 173-190.
-
(1970)
Amer. J. Math.
, vol.93
, pp. 173-190
-
-
Richardson, L.F.1
-
43
-
-
0000518404
-
Riemannian coverings and isospectral manifolds
-
T. Sunada, Riemannian coverings and isospectral manifolds, Ann. of Math. (2) 121 (1985), 169-186.
-
(1985)
Ann. of Math.
, vol.121
, Issue.2
, pp. 169-186
-
-
Sunada, T.1
-
44
-
-
0001526420
-
Spectral theory for operator families on Riemannian manifolds
-
Los Angeles, Amer. Math. Soc., Providence, RI
-
Z. Szabo, Spectral theory for operator families on Riemannian manifolds, Differential geometry: Riemannian geometry (Los Angeles, 1990), pp. 615-665, Amer. Math. Soc., Providence, RI, 1993.
-
(1990)
Differential Geometry: Riemannian Geometry
, pp. 615-665
-
-
Szabo, Z.1
-
46
-
-
0001486471
-
Bounded domains which are isospectral but not congruent
-
H. Urakawa, Bounded domains which are isospectral but not congruent, Ann. Sci. École Norm. Sup. (4) 15 (1982), 441-456.
-
(1982)
Ann. Sci. École Norm. Sup.
, vol.15
, Issue.4
, pp. 441-456
-
-
Urakawa, H.1
-
47
-
-
0001785007
-
Variétés riemanniennes isospectrales et non isométriques
-
M. F. Vignéras, Variétés Riemanniennes isospectrales et non isométriques, Ann. of Math. (2) 112 (1980), 21-32.
-
(1980)
Ann. of Math.
, vol.112
, Issue.2
, pp. 21-32
-
-
Vignéras, M.F.1
|