Infinitesimal conjugacies and Weil-Petersson metric
type: Item
instance of: scholarly article
title: Infinitesimal conjugacies and Weil-Petersson metric
zbMATH Open document ID: 0769.58005
publication date: 1993-06-13T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74993
review text: 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.
Mathematics Subject Classification ID: 58D27
Mathematics Subject Classification ID: 58H15
Mathematics Subject Classification ID: 37D40
Mathematics Subject Classification ID: 53D25
zbMATH DE Number: 179558
zbMATH Keywords: Teichmüller
zbMATH Keywords: Weil-Petersson metric
zbMATH Keywords: deformations
zbMATH Keywords: compact Riemannian manifolds of negative curvature
zbMATH Keywords: geodesic flows
author: Albert Fathi
author: Livio Flaminio
MaRDI profile type: Publication
OpenAlex ID: W2118771947
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DOI: 10.5802/AIF.1331
published in: Annales de l’institut Fourier
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description: scientific article; zbMATH DE number 179558