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An inequality for length and volume in the complex projective plane
Geometriae Dedicata ( IF 0.5 ) Pub Date : 2020-09-21 , DOI: 10.1007/s10711-020-00567-x
Mikhail G. Katz

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.

中文翻译:

复投影平面中长度和体积的不等式

我们证明了一个新的不等式,该不等式将体积与封闭测地线长度有关,用于复杂投影平面上的通用度量的面积最小化器。我们利用最近由 Moore 和 White 得出的面积最小化器的规律性结果,以及 Thom 猜想的 Kronheimer--Mrowka 证明。
更新日期:2020-09-21
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