论文标题
压差，几何势和非孔子弯曲的歧管
Pressure gaps, geometric potentials, and nonpositively curved manifolds
论文作者
论文摘要
在本文中，我们得出了封闭等级1歧管的一般压力差距标准，其单数集由Codimension 1完全测量平面siptori给出。作为一种应用，我们表明，在某些曲率约束下，比几何电位更快的衰减势（朝向奇异集）具有压力差距，并且没有相变。在此过程中，我们证明几何电位是Hölder在奇异集中的连续连续。
In this paper, we derive a general pressure gap criterion for closed rank 1 manifolds whose singular sets are given by codimension 1 totally geodesic flat subtori. As an application, we show that under certain curvature constraints, potentials that decay faster than geometric potentials (towards to the singular set) have pressure gaps and have no phase transitions. Along the way, we prove that geometric potentials are Hölder continuous near singular sets.
