Translator Disclaimer
May/June 2011 A symmetry result on Reinhardt domains
Vittorio Martino
Differential Integral Equations 24(5/6): 495-504 (May/June 2011).

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

Download Citation

Vittorio Martino. "A symmetry result on Reinhardt domains." Differential Integral Equations 24 (5/6) 495 - 504, May/June 2011.

Information

Published: May/June 2011
First available in Project Euclid: 20 December 2012

zbMATH: 1249.32022
MathSciNet: MR2809618

Subjects:
Primary: 32V15, 53A05

Rights: Copyright © 2011 Khayyam Publishing, Inc.

JOURNAL ARTICLE
10 PAGES


SHARE
Vol.24 • No. 5/6 • May/June 2011
Back to Top