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Une remarque sur la symétrie asymptotique de la fonction de Green
Author(s):
Hamid-Reza
Fanaï
Journal:
Proc. Amer. Math. Soc.
133
(2005),
805-807.
MSC (2000):
Primary 37D40, 53D25
Posted:
September 20, 2004
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Abstract:
Dans cette note, nous montrons que la symétrie asymptotique de la fonction de Green dans le cas des variétés compactes de courbure négative implique que la variété est localement symétrique.
References:
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- [AS]
- M. T. Anderson et R. Schoen, Positive harmonic functions on complete manifolds of negative curvature. Ann. Math., 121 (1985), 429-461. MR 0794369 (87a:58151)
- [F]
- H.-R. Fanaï, Sur quelques problèmes liés au flot géodésique. Bull. Belg. Math. Soc., 10 (2003), 161-167. MR 2015195
- [K]
- V. A. Kaimanovich, Brownian motion and harmonic functions on covering manifolds. An entropy approach. Soviet Math. Dokl., 33 (1986), 812-816. MR 0852647 (88k:58163)
- [Y]
- C. B. Yue, Brownian motion on Anosov foliations and manifolds of negative curvature. J. Diff. Geometry, 41 (1995), 159-183. MR 1316554 (95k:58123)
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Additional Information:
Hamid-Reza
Fanaï
Affiliation:
Department of Mathematical Sciences, Sharif University of Technology, P.O. Box 11365-9415, Tehran, Iran
Email:
fanai@sharif.ac.ir
DOI:
10.1090/S0002-9939-04-07683-X
PII:
S 0002-9939(04)07683-X
Keywords:
Flot g\'eod\'esique,
mesures invariantes
Received by editor(s):
October 31, 2003
Posted:
September 20, 2004
Additional Notes:
L'auteur remercie V. Kaimanovich pour son aide. Le soutien du Conseil de Recherches de l'Université Technologique Sharif est également remercié.
Communicated by:
Michael Handel
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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