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Vol. 166, No. 2, 2007

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Matthew J. Gursky & Jeff A. Viaclovsky

Vol. 166 (2007), No. 2, 475-531
Abstract

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.

Authors
Matthew J. Gursky
University of Michigan
Department of Mathematics
United States
Jeff A. Viaclovsky
University of Wisconsin
Department of Mathematics
Madison WI 53706
United States