We show the following symmetry property of a bounded Reinhardt domain Omega in Cn+1: let M = partial derivative 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.
Martino V. (2011). A symmetry result on reinhardt domains. DIFFERENTIAL AND INTEGRAL EQUATIONS, 24(5-6), 495-504.
A symmetry result on reinhardt domains
Martino V.
2011
Abstract
We show the following symmetry property of a bounded Reinhardt domain Omega in Cn+1: let M = partial derivative 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.File in questo prodotto:
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