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arxiv: 1010.6116 · v1 · pith:ONHXQUDJnew · submitted 2010-10-29 · 🧮 math.DG · math.AP

Prescribing the symmetric function of the eigenvalues of the Schouten tensor

Yan He , Weimin Sheng This is my paper
classification 🧮 math.DG math.AP
keywords tensoreigenvaluesfunctionschoutensymmetricboundarycompactcompactness
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In this paper we study the problem of conformally deforming a metric to a prescribed symmetric function of the eigenvalues of the Schouten tensor on compact Riemannian manifolds with boundary. We prove its solvability and the compactness of the solution set, provided the Ricci tensor is non-negative definite.

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