Event

Talk
A criterion on embeddedness of surfaces with 'small' mean curvature
Dr. Theodora Bourni
31 May 2011, 17:30 – 18:30

In a paper of '02, Ekholm, White and Wienholtz showed that a minimal surface bounded by a simple closed curve of total curvature at most 4\pi is embedded. In this talk I will describe some results that extend this theorem to surfaces whose mean curvature has small L^p norm (p>2). As an application, for surfaces in R3, I will derive curvature estimates and a bound on the genus of such surfaces. This is a joint work with G. Tinaglia.

http://www.raumzeitmaterie.de/docs/abstract_bourni.pdf

Related to:

• Theodora Bourni