类威尔摩能和带势的弹性曲线

Q4 Mathematics

Geometry, Integrability and Quantization Pub Date : 2020-01-01 DOI:10.7546/giq-21-2020-232-241

Á. Pámpano

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引用次数: 0

摘要

．研究了杀戮淹没总空间中的不变Willmore-like环面。特别地，我们利用基面上具有势的弹性曲线的关系，分析了杀戮淹没总空间中的Willmore环面。最后，我们应用我们的发现，用常平均曲率Willmore环面构造这些总空间的叶状。

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Willmore-Like Energies and Elastic Curves with Potential

. We study invariant Willmore-like tori in total spaces of Killing submersions. In particular, using a relation with elastic curves with potentials in the base surfaces, we analyze Willmore tori in total spaces of Killing submersions. Finally, we apply our ﬁndings to construct foliations of these total spaces by constant mean curvature Willmore tori.

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来源期刊

Geometry, Integrability and Quantization Mathematics-Mathematical Physics

CiteScore

0.70

自引率

0.00%

发文量