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arXiv · 1809.06874

On a new functional for extremal metrics of the conformal laplacian in high dimension

Yannick Sire·Hang Xu
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Abstract

In this paper, we introduce a new functional for the conformal spectrum of the conformal laplacian on a closed manifold M of dimension at least 3. For this new functional we provide a Korevaar type result. The main body of the paper deals with the case of the sphere but a section is devoted to more general closed manifolds.

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Yannick Sire, Hang Xu. 2018-09-18. On a new functional for extremal metrics of the conformal laplacian in high dimension. https://arxiv.org/abs/1809.06874

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