Energy quantization for the Willmore functional

  • Yann Bernard (Universität Freiburg)
A3 01 (Sophus-Lie room)


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).

Anne Dornfeld

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