论文标题
音量的关键指标与捏合曲率功能
Critical metrics of the volume functional with pinched curvature
论文作者
论文摘要
在本文中，我们证明，捏合Weyl曲率功能的重要指标是与$ \ Mathbb {s}^{n}中的地理球等均值。
In this paper, we prove that a critical metric of the volume functional with pinched Weyl curvature is isometric to a geodesic ball in $\mathbb{S}^{n}.$ Moreover, we provide a necessary and sufficient condition on the norm of the gradient of the potential function in order to classify such critical metrics.
