论文标题
带有无差异的BACH张量和非零宇宙常数的静电系统
Electrostatic system with divergence-free Bach tensor and non-null cosmological constant
论文作者
论文摘要
我们证明，具有无差异BACH张量的三维静电歧管在局部固定平坦，规定电场和失去功能的梯度是线性依赖性的。因此，三维静电歧管允许具有一维碱基和恒定曲率表面纤维的局部扭曲产物结构。
We prove that three-dimensional electrostatic manifolds with divergence-free Bach tensor are locally conformally flat, provide that the electric field and the gradient of the lapse function are linearly dependent. Consequently, a three-dimensional electrostatic manifold admits a local warped product structure with a one-dimensional base and a constant curvature surface fiber.
