论文标题
Sasaki电位空间完成的曲率
Curvature of the Completion of the Space of Sasaki Potentials
论文作者
论文摘要
考虑到紧凑的Sasaki歧管,我们将Sasaki电位的空间赋予了Mabuchi公制的类似物。我们表明,从Alexandrov的意义上讲,它的度量完成是负弯曲的。
Given a compact Sasaki manifold, we endow the space of the Sasaki potentials with an analogue of Mabuchi metric. We show that its metric completion is negatively curved in the sense of Alexandrov.