We study bounded Reinhardt domains of C^2, whose Levi curvature depends on the distance from the origin. We prove that a radial decrease of the Levi curvature forces the domain to be a ball.
Levi curvature with radial symmetry: a sphere theorem for bounded Reinhardt domains of $mathbbC^2$
Giulio Tralli
2010
Abstract
We study bounded Reinhardt domains of C^2, whose Levi curvature depends on the distance from the origin. We prove that a radial decrease of the Levi curvature forces the domain to be a ball.
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