基于DPW的高亏格Lawson曲面面积估计

IF 1.3 1区数学 Q1 MATHEMATICS

Journal of Differential Geometry Pub Date : 2019-07-16 DOI:10.4310/jdg/1685121318

Lynn Heller, Sebastian Heller, M. Traizet

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引用次数: 5

摘要

从鞍形塔表面出发，通过使相应的DPW势变形，给出了高亏格的Lawson表面$\xi_｛m，k｝$的一个新的存在性证明。作为副产品，我们获得了$\xi_｛m，k｝$区域的固定$m$估计值，以属$g=mk\gg1$为单位。

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Area estimates for high genus Lawson surfaces via DPW

Starting at a saddle tower surface, we give a new existence proof of the Lawson surfaces $\xi_{m,k}$ of high genus by deforming the corresponding DPW potential. As a byproduct, we obtain for fixed $m$ estimates on the area of $ \xi_{m,k}$ in terms of their genus $g=m k \gg1$.

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来源期刊

Journal of Differential Geometry 数学-数学

CiteScore

3.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes the latest research in differential geometry and related areas of differential equations, mathematical physics, algebraic geometry, and geometric topology.