Willmore deformations between minimal surfaces in H^n and S^n

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:Prof. Wang Peng
:2020-11-12 14:30
:实验楼105(线下)

SpeakerProf. Wang Peng

          Fujian Normal University

Title: Willmore deformations between minimal surfaces in H^n and S^n

Time12th, Nov., 2020, 14:30

Location实验楼105(线下

Abstract:

In this talk we will show that there exists Willmore deformations between minimal surfaces in H^n and S^n. The deformations of the Veronese two sphere and its generalization provide examples of complete minimal surfaces in H^4 with varying Willmore energy.  Applying to a class of minimal surfaces in S^4, we show that they are non-rigid in the sense they admit global, non-trivial minimal deformations.

Speaker Introduction

王鹏,福建师范大学教授,闽江学者特聘教授。主要研究方向为Willmore曲面与极小曲面,连续主持国家自然科学基金4项,在J. Differ. Geom., Adv.Math., Bull. London Math. Soc.等杂志上发表论文20余篇。

 

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