正数量曲率的秘密双曲寿命
The Secret Hyperbolic Life of Positive Scalar Curvature
摘要：
本文介绍了将极小超曲面的几何分析与Gromov双曲空间的几何分析联系起来的双曲开折对应。由超曲面奇异性引起的问题常常在相关的Gromov双曲空间上可解。应用于数量曲率几何，这产生平滑计划，消除这种奇异性。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
