A SYMMETRY RESULT ON REINHARDT DOMAINS

作者:Martino Vittorio*
来源:Differential and Integral Equations, 2011, 24(5-6): 495-504.

摘要

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.

  • 出版日期2011-6