Abstract
We show the following symmetry property of a bounded Reinhardt domain $\Omega$ in $\mathbb{C}^{n+1}$: let $M=\partial\Omega$ be the smooth boundary of $\Omega $ and let $h$ be the Second Fundamental Form of $M$; if the coefficient $h(T,T)$ related to the characteristic direction $T$ is constant then $M$ is a sphere. In the Appendix we state the result from a hamiltonian point of view.
Citation
Vittorio Martino. "A symmetry result on Reinhardt domains." Differential Integral Equations 24 (5/6) 495 - 504, May/June 2011. https://doi.org/10.57262/die/1356018915
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