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BIRS Workshop Lecture Videos

Rigidity results for constant Levi curvature hypersurfaces Tralli, Giulio


In this talk we consider the problem of characterizing spheres in C^2 by the fact they have constant Levi curvature. We discuss a rigidity result of Jellett-type for a suitable class of real hypersurfaces. The strong maximum principle for a particular subelliptic operator on the hypersurface plays a crucial role in this approach. As a main application, we provide an Aleksandrov-type result for starshaped domains with circular symmetries. This is a joint work with V. Martino.

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