Une formule de Poisson pour les variétés de Heisenberg
Hubert Pesce
Source: Duke Math. J. Volume 73, Number 1
(1994), 79-95.
First Page:
Show
Hide
Primary Subjects:
58G25
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077288608
Mathematical Reviews number (MathSciNet): MR1257278
Zentralblatt MATH identifier: 0803.58054
Digital Object Identifier: doi:10.1215/S0012-7094-94-07303-1
References
[1] M. Berger, P. Gauduchon, and E. Mazet, Le spectre d'une variété riemannienne, Lecture Notes in Math., vol. 194, Springer-Verlag, Berlin, 1971.
Mathematical Reviews (MathSciNet): MR43:8025
Zentralblatt MATH: 0223.53034
[2] J. Chazarain, Formule de Poisson pour les variétés riemanniennes, Invent. Math. 24 (1974), 65–82.
Mathematical Reviews (MathSciNet): MR49:8062
Zentralblatt MATH: 0281.35028
Digital Object Identifier: doi:10.1007/BF01418788
[3]1 Y. Colin de Verdière, Spectre du laplacien et longueurs des géodésiques périodiques. I, Compositio Math. 27 (1973), 83–106.
Mathematical Reviews (MathSciNet): MR50:1293
Zentralblatt MATH: 0272.53034
[3]2 Y. Colin de Verdière, Spectre du laplacien et longueurs des géodésiques périodiques. II, Compositio Math. 27 (1973), 159–184.
Mathematical Reviews (MathSciNet): MR50:1293
Zentralblatt MATH: 0281.53036
[4] D. L. De George, Length spectrum for compact locally symmetric spaces of strictly negative curvature, Ann. Sci. École Norm. Sup. (4) 10 (1977), no. 2, 133–152.
Mathematical Reviews (MathSciNet): MR81i:58047
Zentralblatt MATH: 0367.53023
[5] J. J. Duistermaat and V. W. Guillemin, The spectrum of positive elliptic operators and periodic bicharacteristics, Invent. Math. 29 (1975), no. 1, 39–79.
Mathematical Reviews (MathSciNet): MR53:9307
Zentralblatt MATH: 0307.35071
Digital Object Identifier: doi:10.1007/BF01405172
[6] P. Eberlein, Geometry of $2$-step nilpotent Lie groups with a left invariant metric, prépublication, l'Université de Caroline du Nord.
[7] R. Gangolli, The length spectra of some compact manifolds of negative curvature, J. Differential Geom. 12 (1977), no. 3, 403–424.
Mathematical Reviews (MathSciNet): MR58:31311
Zentralblatt MATH: 0365.53016
Project Euclid: euclid.jdg/1214434092
[8] C. Gordon, The Laplace spectra versus the length spectra of Riemannian manifolds, Nonlinear Problems in Geometry (Mobile, Ala., 1985) ed. D. M. Deturck, Contemp. Math., vol. 51, Amer. Math. Soc., Providence, 1986, pp. 63–80.
Mathematical Reviews (MathSciNet): MR87i:58170
Zentralblatt MATH: 0591.53042
[9] C. Gordon and E. Wilson, The spectrum of the Laplacian on Riemannian Heisenberg manifolds, Michigan Math. J. 33 (1986), no. 2, 253–271.
Mathematical Reviews (MathSciNet): MR87k:58275
Zentralblatt MATH: 0599.53038
Digital Object Identifier: doi:10.1307/mmj/1029003354
Project Euclid: euclid.mmj/1029003354
[10] H. P. McKean, Selberg's trace formula as applied to a compact Riemann surface, Comm. Pure Appl. Math. 25 (1972), 225–271.
Mathematical Reviews (MathSciNet): MR57:12843a
Zentralblatt MATH: 0317.30018
Digital Object Identifier: doi:10.1002/cpa.3160250302
[11] J. Milnor, Curvatures of left invariant metrics on Lie groups, Adv. Math. 21 (1976), no. 3, 293–329.
Mathematical Reviews (MathSciNet): MR54:12970
Zentralblatt MATH: 0341.53030
Digital Object Identifier: doi:10.1016/S0001-8708(76)80002-3
[12] H. Pesce, Déformations isospectrales sur certaines nilvariétés et finitude spectrale des variétés de Heisenberg, Ann. Sci. École Norm. Sup. (4) 25 (1992), no. 5, 515–538.
Mathematical Reviews (MathSciNet): MR94c:58214
Zentralblatt MATH: 0777.58008
[13] C. Gordon, Isospectral closed Riemannian manifolds which are not locally isometric, J. Differential Geom. 37 (1993), no. 3, 639–649.
Mathematical Reviews (MathSciNet): MR94b:58098
Zentralblatt MATH: 0792.53037
Project Euclid: euclid.jdg/1214453902
Duke Mathematical Journal
