余紧富克斯群的Gromov-Lawson-Rosenberg猜想
The Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups
摘要：
证明了余紧富克斯群上的Gromov-Lawson-Rosenberg猜想，从而给出了具有基本群余紧富克斯群的大于4维闭自旋流形允许正数量曲率度量的充要条件.
英文摘要：
We prove the Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups, thereby giving necessary and sufficient conditions for a closed spin manifold of dimension greater than four with fundamental group cocompact Fuchsian to admit a metric of positive scalar curvature.
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。
