Type: Seminar

Distribution: World

Expiry: 25 Feb 2013

Auth: zhangou@60.225.188.3 (zhouz) in SMS-WASM

Speaker: Dr. Martin Schmidt (Mannheim) Time: Thursday, February 7, 12NOON--1PM Room: Carslaw 707A Lunch: after the talk. The reservation at Law Annex Cafe is 1:15PM. ---------------------------------------------------------- Title: On Spectral Curves of CMC Annuli of Finite Type in S^3 Abstract: We call a cmc immersions of the parabolic annulus into S^3 to be of finite type, if it has bounded curvature and constant Hopf differential with respect to the coordinate z in C/Z. Such an annulus is called Alexandrov embedded, if the immersion extends to a complete three manifold, whose boundary is the annulus. It is called mean convex, if the mean curvature with respect to the inner normal is non-negative. All these annuli are determined by solutions of the sinh Gordon equation of finite type. The corresponding set of spectral curves is shown to be connected. It turns to be a two-dimensional set of spectral curves of genus at most one. The corresponding annuli are all surfaces of revolution. ---------------------------------------------------------- Seminar website: http://www.maths.usyd.edu.au/u/SemConf/Geometry/