Stability of line bundle mean curvature flow

Let ( X , ? stretchy="false">) (X,\omega ) be a compact Kähler manifold of complex dimension alttext="n"> n encoding="application/x-tex">n and L h L h encoding="application/x-tex">(L,h) holomorphic line bundle over alttext="upper X"> encoding="application/x-tex">X . The mean curvature flow was introduced by Jacob-Yau in order to find deformed Hermitian-Yang-Mills metrics on L"> encoding="application/x-tex">L In this paper, we consider the stability flow. Suppose there exists Hermitian Yang-Mills metric alttext="ModifyingAbove With caret"> stretchy="false">^ encoding="application/x-tex">\hat h We prove that converges exponentially C Superscript normal infinity"> C ?<!-- ? </mml:msup> encoding="application/x-tex">C^\infty sense as long initial is close squared"> 2 encoding="application/x-tex">C^2 -norm.