摘要

Using a rotation of Yuan, we observe that the gradient graph of any semi-convex function is a Liouville manifold, that is, does not admit non-constant bounded harmonic functions. As a corollary, we find that any solution of the fourth order Hamiltonian stationary equation satisfying theta >= (n-2) pi/2 + delta for some delta > 0 must be a quadratic.

  • 出版日期2016-5