Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliographie
M. BERGER, P. GAUDUCHON, E. MAZET-Le spectre d'une variété riemannienne, Lecture Notes in Math. 194, Springer, 1971.
R. L. BISHOP, B. O'NEILL-Manifolds of negative curvature, Trans. A.M.S., 145 (1969), p. 1–48.
I. M. GEL'FAND-Automorphic functions and the theory of representations, Pro. Int. Congress of Math., Stockholm, 1962.
I. M. GEL'FAND, M. I. GRAEV, I. I. PYATETSKII-SHAPIRO-Representation theory and automorphic functions, W. B. Saunders Company, 1969.
R. GODEMENT-Introduction aux travaux de Selberg, Sém. Bourbaki, 9e année, Vol. 1956/57, exposé 144, W. A. Benjamin, N.Y.
R. GODEMENT-La formule des traces de Selberg, Sém. Bourbaki, 15e année, vol. 1962/63, exposé 244, W. A. Benjamin, N.Y.
S. HELGASON-Differential geometry and symmetric spaces, Acad. Press, 1962.
H. HUBER-Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen, I), Math. Annalen, 138 (1959), p. 1–26
H. HUBER-Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen, II), Math. Annalen, 142 (1961), p. 385–398
H. HUBER-Zur analytischen Theorie hyperbolischer Raumformen und Bewegunsgruppen, III), Math. Annalen, 143 (1961), p. 463–464.
S. KOBAYASHI, K. NOMIZU-Foundations of dif. geometry II, Intersc., 1969.
G. A. MARGULIS-Applications of ergodic theory to the investigation of manifolds of negative curvature, Functional Analysis, 3 (1969), p. 335–336.
S. MINAKSHISUNDARAM, A. PLEIJEL-Some properties of the eigenfunctions of the Laplace operator on Riemannian manifolds, Canad. J. Math., 1 (1949), p. 242–256.
A. PREISSMANN-Quelques propriétés globales des espaces de Riemann, Comment. Math. Helv., 15 (1943), p. 175–216.
A. SELBERG-Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series, J. Indian Math. Soc., 20 (1956), p. 47–87.
A. SELBERG-On discontinuous groups in higher-dimensional symmetric spaces, Internat. Colloq. Function Theory, Bombay, 1960, p. 147–164.
SÉMINAIRE BERGER-Variétés à courbure négative, 1970/1971, Université Paris VII.
Y. SINAI-The asymptotic behavior of the number of closed geodesics on a compact manifold of negative curvature, Izv. Akad. Nauk S.S.S.R., 30 (1966), p. 1275–1296.
S. TANAKA-Selberg's trace formula and spectrum, Osaka J. Math., 3 (1966), p. 205–216.
A. WEIL-On discrete subgroups of Lie groups, I) Ann. Math., 72 (1960), p. 369–384
A. WEIL-On discrete subgroups of Lie groups, II) Ann. Math., 75 (1962), p. 578–602.
N. WIENER-Tauberian theorems, Ann. Math., 33 (1932), p. 1–100.
J. WOLF-Spaces of constant curvature, McGraw-Hill, 1967.
Editor information
Rights and permissions
Copyright information
© 1973 N. Bourbaki
About this paper
Cite this paper
Bérard-Bergery, L. (1973). Laplacien et géodésiques fermées sur les formes d'espace hyperbolique compactes. In: Dold, A., Eckmann, B. (eds) Séminaire Bourbaki vol. 1971/72 Exposés 400–417. Lecture Notes in Mathematics, vol 317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069279
Download citation
DOI: https://doi.org/10.1007/BFb0069279
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06179-3
Online ISBN: 978-3-540-38403-8
eBook Packages: Springer Book Archive