论文标题

关于封闭的riemannian歧管的保形弯曲

On the conformal bending of a closed Riemannian manifold

论文作者

Yuan, Rirong

论文摘要

在本文中,我们通过求解完全非线性方程来弯曲保形类别中的封闭式riemannian歧管。结果,我们证明了准阴性RICCI曲率的每个度量标准均与具有负RICCI曲率的度量相符。

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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