Geodesic
Prescribing symmetric functions of the eigenvalues of the Ricci tensor
Matthew J. Gursky1 ; Jeff A. Viaclovsky2
1 Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556 , United States
2 Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, United States
Annals of mathematics, Tome 166 (2007) no. 2, pp. 475-531.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We study the problem of conformally deforming a metric to a prescribed symmetric function of the eigenvalues of the Ricci tensor. We prove an existence theorem for a wide class of symmetric functions on manifolds with positive Ricci curvature, provided the conformal class admits an admissible metric.
DOI : 10.4007/annals.2007.166.475

Matthew J. Gursky 1 ; Jeff A. Viaclovsky 2

1 Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556 , United States
2 Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, United States 
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Matthew J. Gursky; Jeff A. Viaclovsky. Prescribing symmetric functions of the eigenvalues of the Ricci tensor. Annals of mathematics, Tome 166 (2007) no. 2, pp. 475-531. doi : 10.4007/annals.2007.166.475. http://geodesic.mathdoc.fr/articles/10.4007/annals.2007.166.475/

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