Characterizing Spheres in ℂ 2 by Their Levi Curvature: A Result à la Jellett

Abstract

We investigate rigidity problems for a class of real hypersurfaces in ℂ 2 with constant Levi curvature. We present a recent result obtained in A Jellett type theorem for the Levi curvature (2017) in collaboration with V. Martino for the boundaries of starshaped circular domains.