
An integral inequality is derived that bounds the ADM mass of asymptotically Euclidean Kähler manifolds from below in terms of the scalar curvature and the Hessian of certain holomorphic coordinate functions. This inequality is then used to prove two stability results for the Positive Mass Theorem on Kähler manifolds.


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integral-inequality-and-stability-of-the-positive-mass-theorem-for-asymptotically-euclidean-kähler-manifolds


Integral Inequality and Stability of the Positive Mass Theorem for Asymptotically Euclidean Kähler Manifolds
