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Prescribing symmetric functions of the eigenvalues of the Ricci tensor

Matthew Gursky·Jeff Viaclovsky
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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.

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Matthew Gursky, Jeff Viaclovsky. 2005-11-22. Prescribing symmetric functions of the eigenvalues of the Ricci tensor. https://arxiv.org/abs/math/0409187

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