论文标题
复杂的投影平面中长度和体积的不平等
An inequality for length and volume in the complex projective plane
论文作者
论文摘要
我们证明了一种新的不等式,该不平等与封闭式最小化的封闭测量机的长度有关,用于复杂的投影平面上的通用指标。我们利用Moore和White的面积最小化的最新规律性结果,以及Kronheimer--Mrowka thom猜想的证明。
We prove a new inequality relating volume to length of closed geodesics on area minimizers for generic metrics on the complex projective plane. We exploit recent regularity results for area minimizers by Moore and White, and the Kronheimer--Mrowka proof of the Thom conjecture.