Dr. Yann Bernard (Universität Freiburg): Energy quantization for the Willmore functional
Mittwoch, 23.05.2012 14:15 im Raum SR1b
We prove a bubble-neck decomposition and an energy quantization
result for sequences of Willmore surfaces immersed into R^m (m>2) with
uniformly bounded energy and non-degenerating conformal type. We deduce
the strong compactness (modulo the action of the Moebius group) of closed
Willmore surfaces of a given genus below some energy threshold.
This is joint-work with Tristan Rivière (ETH Zürich)