In this paper, we will study the limiting behavior of the Brown-York mass of the coordinate spheres in an asymptotically flat manifold. Limiting behaviors of volumes of regions related to coordinate spheres are also obtained, including a discussion on the isoperimetric mass introduced by Huisken [13]. We will also study expansions of the Brown-York mass and the Hawking mass of geodesic spheres with center at a fixed point p of a three manifold. Some geometric consequences will be derived.

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Abstract. In this paper, we will study the problem of uniqueness of Kähler Ricci flow on some complete noncompact Kähler manifolds and the convergence of the flow on C n with the initial metric constructed by Wu and Zheng.

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