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	2015 NCTS Differential Geometry Seminar

16:00 - 17:00, April 16, 2015 (Thursday)
R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
On minimal surfaces bounded by a piecewise geodesic Jordan curve with 5 vertices
Sung-Hong Min (National Taiwan University)

In this talk, we will deal with some embeddedness results of minimal surfaces in a space form: In particular, let ${$\Gamma_5$}$ be a piecewise geodesic Jordan curve in ${$\mathbb{H}^n$}$ or ${$\mathbb{S}^n_+$}$ with 5 vertices. Then any minimal surface ${$\Sigma$}$ bounded by ${$\Gamma_5$}$ is embedded. As a consequence, ${$\Gamma_5$}$ is an unknot in ${$\mathbb{H}^3$}$ or ${$\mathbb{S}^3_+$}$ .