Levi Curvature with Radial Symmetry: a Sphere Theorem for Bounded Reinhardt Domains of $\mathbb C^2$

Giulio Tralli

doi:10.4171/rsmup/124-12

JournalsrsmupVol. 124pp. 185–196

Levi Curvature with Radial Symmetry: a Sphere Theorem for Bounded Reinhardt Domains of $C^{2}$

Giulio Tralli
Università di Bologna, Italy

$Levi Curvature with Radial Symmetry: a Sphere Theorem for Bounded Reinhardt Domains of $\mathbb C^2$ cover$

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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.

Cite this article

Giulio Tralli, Levi Curvature with Radial Symmetry: a Sphere Theorem for Bounded Reinhardt Domains of $C^{2}$ . Rend. Sem. Mat. Univ. Padova 124 (2010), pp. 185–196

DOI 10.4171/RSMUP/124-12