Diff. Geom, Math. Phys., PDE: Jingyi Chen

  • Date: 01/15/2013
  • Time: 15:30
Jingyi Chen, UBC

University of British Columbia


A Bernstein theorem for the Willmore equation


A classical theorem in minimal surface theory says that any entire minimal graph in R^3 is a plane. We ask the same question for the Willmore equation which is of 4th order. We prove that an entire Willmore graph is a plane if its Willmore functional is finite (i.e. if the mean curvature of the graph is square integrable). This is joint work with Tobias Lamm.

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Location: ESB 2012