Nous étudions les déformations de variétés riemanniennes compactes à courbure strictement négative. Nous établissons une équation pour la conjugaison infinitésimale entre les flots géodésiques, ce qui nous permet de donner des dérivées de l’intersection de métriques. Nous obtenons une nouvelle démonstration d’un théorème de Wolpert.
We study deformations of compact Riemannian manifolds of negative curvature. We give an equation for the infinitesimal conjugacy between geodesic flows. This in turn allows us to compute derivatives of intersection of metrics. As a consequence we obtain a proof of a theorem of Wolpert.
@article{AIF_1993__43_1_279_0,
author = {Fathi, Albert and Flaminio, L.},
title = {Infinitesimal conjugacies and {Weil-Petersson} metric},
journal = {Annales de l'Institut Fourier},
pages = {279--299},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {43},
number = {1},
year = {1993},
doi = {10.5802/aif.1331},
mrnumber = {94c:58149},
zbl = {0769.58005},
language = {en},
url = {http://www.numdam.org/articles/10.5802/aif.1331/}
}
TY - JOUR AU - Fathi, Albert AU - Flaminio, L. TI - Infinitesimal conjugacies and Weil-Petersson metric JO - Annales de l'Institut Fourier PY - 1993 SP - 279 EP - 299 VL - 43 IS - 1 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.1331/ DO - 10.5802/aif.1331 LA - en ID - AIF_1993__43_1_279_0 ER -
%0 Journal Article %A Fathi, Albert %A Flaminio, L. %T Infinitesimal conjugacies and Weil-Petersson metric %J Annales de l'Institut Fourier %D 1993 %P 279-299 %V 43 %N 1 %I Institut Fourier %C Grenoble %U http://www.numdam.org/articles/10.5802/aif.1331/ %R 10.5802/aif.1331 %G en %F AIF_1993__43_1_279_0
Fathi, Albert; Flaminio, L. Infinitesimal conjugacies and Weil-Petersson metric. Annales de l'Institut Fourier, Tome 43 (1993) no. 1, pp. 279-299. doi : 10.5802/aif.1331. http://www.numdam.org/articles/10.5802/aif.1331/
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