We show the following symmetry property of a bounded Reinhardt domain Ω in Cn+1: let M=∂Ω be the smooth boundary of Ω 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.
Vittorio Martino (2011). A symmetry result on Reinhardt domains. DIFFERENTIAL AND INTEGRAL EQUATIONS, 24, 495-504.
A symmetry result on Reinhardt domains
MARTINO, VITTORIO
2011
Abstract
We show the following symmetry property of a bounded Reinhardt domain Ω in Cn+1: let M=∂Ω be the smooth boundary of Ω 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.File in questo prodotto:
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