Weekly Activities

Minimal surfaces in $\widetilde{{\rm PSL}_2(\mathbb{R})}$
Báo cáo viên: Nguyễn Minh Hoàng (ĐHKHTN)

Thời gian: 9h00, Thứ 4, Ngày 26/9/2018,
Địa điểm: Phòng 611-612 Tầng 6 Nhà A6
Tóm tắt: In this talk, we present some examples of minimal surfaces in the homogeneous Riemannian $3$-manifold $widetilde{{rm PSL}_2(mathbb{R})}$ which can be viewed as $left{(x,y,z)inmathbb{R}^3: x^2+y^2<4 right}$ endowed with a particular Riemannian metric.
In particular, we describe the construction of complete, embedded minimal annuli of finite total curvature whose boundaries consist of $4$ vertical lines on the boundary at infinity of $widetilde{{rm PSL}_2(mathbb{R})}$.
This is joint work with Pascal Collin and Laurent Hauswirth.

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