论文标题
积极标态曲率的秘密双曲线寿命
The Secret Hyperbolic Life of Positive Scalar Curvature
论文作者
论文摘要
这项调查介绍了双曲线展开的对应关系，该对应关系将最小超曲面的几何分析与Gromov双曲空间的几何分析联系起来。在相关的格罗莫夫双曲空间上，由于超表面奇异性引起的问题通常可以解决。应用于标量曲率几何形状，这产生了消除这种奇异性的平滑方案。
This survey introduces to the hyperbolic unfolding correspondence that links the geometric analysis of minimal hypersurfaces with that of Gromov hyperbolic spaces. Problems caused from hypersurface singularities oftentimes become solvable on associated Gromov hyperbolic spaces. Applied to scalar curvature geometry this yields smoothing schemes that eliminate such singularities.
