Bibliographie
[Bav-Pan] Bavard, Ch., Pansu, P.: Le volume minimal deR 2. Ann. Sci. Ec. Norm. Super.19, 479–490 (1986)
[Be] Besse, A.: Einstein Manifolds, Ergebnisse der Math. und ihrer Grenzgebiete. Band 10. Berlin, Heidelberg, New York: Springer 1987
[Be2] Besse, A.: Manifolds all of whose geodesics are closed, Ergebnisse der Math. und ihrer Grenzgebiete. Band 93. Berlin, Heidelberg, New York: Springer 1978
[Bro] Brooks, R.: The fundamental group and the spectrum of the Laplacian. Comment. Math. Helv.56, 581–598 (1981)
[Din] Dinaburg, E.T.: On the relations among various entropy characteristics of dynamical systems. Math. USSR, Izv.5, 337–378 (1971)
[E-I] El Soufi, A., Ilias, S.: Operateurs de Shrödinger sur une variété riemannienne et volume conforme Grenoble: Prépublication de l'Institut Fourier no 83 (1987)
[Eb] Ebin, D.: The space of riemannian metrics. Proc. Symp. Am. Math. Soc.15 Global Analysis 11–40 (1968)
[Ga-Me] Gallot, S., Meyer, D.: Operateur de courbure et laplacien des formes différentielles d'une variété riemannienne. J. Math. Pures Appl.54, 259–284 (1975)
[Gro1] Gromov, M.: Volume and Bounded cohomology. Publ. Math. Inst. Hautes Étud. Sci.56, 213–307 (1981)
[Gro2] Gromov, M.: Groups of polynomial growth and expanding maps. Publ. Math. Inst. Hautes Étud. Sci.53, 53–78 (1981)
[Gro3] Gromov, M.: Filling Riemannian Manifolds. J. Differ. Geom.18, 1–47 (1983)
[Gro-Laf-Pan] Gromov, M., Lafontaine, J., Pansu, P.: Structures métriques pour les variétés riemanniennes. Cedic: Fernand Nathan, 1981
[Gui] Guivarc'h, Y.: Sur la représentation intégrale des fonctions harmoniques et des fonctions propres positives dans un espace riemannien symétrique. Bull. Soc. Math. Fr. 2e série,108, 373–392 (1984)
[Ha] Hamenstädt, U.: Metric and topological entropy of geodesic flows. Caltech 1989 (Preprint)
[Hel] Helgason, S.: Differential geometry and symmetric spaces. New York, London: Academic Press 1962
[Ka-Kni-We] Katok, A., Knieper, G., Weiss, H.: Regularity of Topological Entropy (Preprint)
[Kni] Knieper, G.: A second derivative formula of the measure theoretic entropy at spaces of constant negative curvature. Preprint Göttingen
[Ko] Koiso, N.: A decomposition of the space of Riemannian Metrics on a Manifold. Osaka J. Math.16, 423–429 (1979)
[Kat] Katok, A.: Four applications of conformal equivalence to Geometry and Dynamics. Ergodic Theory Dyn. Syst.8, 139–152 (1988)
[Led] Ledrappier, F.: Harmonic measures and Bowen-Margulis measures. Univ. Paris VI (1988) (Preprint)
[Man] Manning, A.: Topological entropy for geodesic flows. Ann. Math.110, 567–573 (1979)
[Ol] Olshanetski, M.A.: Frontière de Martin de l'opérateur de Laplace Beltrami sur les espaces riemanniens symétriques de courbure non positives. Math. Nauk. 1969
[Pan] Pansu, P.: Effondrement des variétés riemanniennes. Séminaire Bourbaki, exposé 618 novembre 1983
[Pes] Pesin, B.: Equations for the entropy of the geodesic flow on a compact riemanian manifold without conjugate points. Math. notes24, 796–805 (1978)
[Si] Simons, J.: On the transitivity of holonomy systems. Ann. Math.76, 213–234 (1962)
[Sun] Sunada, T.: Unitary representations of fundamental groups and the spectrum of twisted Laplacians. Topology,28, 2, 1–125 (1989)
[Zim] Zimmer, R.J.: Ergodic theory and semi-simple groups. Boston: Birkhäuser 1984
Author information
Authors and Affiliations
Additional information
Oblatum 18-V-1990 & 29-VI-1990
Ce travail a été partiellement effectué sous le contrat CEE no SC1-0105-C «GADGET» à l'U.R.A. 188 au C.N.R.S.
Rights and permissions
About this article
Cite this article
Besson, G., Courtois, G. & Gallot, S. Volume et entropie minimale des espaces localement symétriques. Invent Math 103, 417–445 (1991). https://doi.org/10.1007/BF01239520
Issue Date:
DOI: https://doi.org/10.1007/BF01239520