On the conformal bending of a closed Riemannian manifold

Rirong Yuan

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arXiv · 2210.06627

On the conformal bending of a closed Riemannian manifold

Rirong Yuan

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Abstract

In this paper, we bend a closed Riemannian manifold in the conformal class, through solving a fully nonlinear equation. As a result, we prove that each metric of quasi-negative Ricci curvature is conformal to a metric with negative Ricci curvature.

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Rirong Yuan. 2022-10-12. On the conformal bending of a closed Riemannian manifold. https://arxiv.org/abs/2210.06627

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