Seminar series
Date
Mon, 16 Feb 2009
17:00
17:00
Location
Gibson 1st Floor SR
Speaker
Reiner Schätzle
Organisation
Tübingen University
We prove the existence of a smooth minimizer of the Willmore energy in the class of conformal immersions of a given closed Riemann surface
into $R^n$, $n = 3, 4$, if there is one conformal immersion with Willmore energy smaller than a certain bound $W_{n,p}$ depending on codimension and genus $p$ of the Riemann surface. For tori in codimension $1$, we know $W_{3,1} = 8\pi$ . Joint work with Enrst Kuwert.