Open AccessLevi Curvature with Radial Symmetry: a Sphere Theorem for Bounded Reinhardt Domains of $\mathbb C^2$
Author(s) -
Giulio Tralli
Publication year - 2010
Publication title -
rendiconti del seminario matematico della r. università di padova/rendiconti del seminario matematico della università di padova
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 24
eISSN - 0373-319X
pISSN - 0041-8994
DOI - 10.4171/rsmup/124-12
Subject(s) - bounded function , curvature , symmetry in biology , symmetry (geometry) , mathematical physics , mathematics , physics , pure mathematics , combinatorics , mathematical analysis , geometry
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