5 problems

ADM-mass deformation conjecture. The Hamiltonian energy functional and the boundary terms constitute deformations of the ADM mass of $(\overline{\Sigma},\bar{q})$ at the outer boun…

Consider the ADM mass on smooth, rotationally symmetric $n$-manifolds, with convergence given by the pointed intrinsic flat topology. Lower-semicontinuity conjecture for ADM mass.…

Let $3\leq n$ and consider the lower semicontinuity theorem for the ADM mass under the convergence hypotheses of Theorem 1, with limit $(N,h)$ asymptotically flat. Higher-dimension…

Let $(M_i,g_i)$ be asymptotically flat $n$-manifolds of nonnegative scalar curvature containing no compact minimal surfaces, and let $(N,h)$ be an asymptotically flat limit manifol…

Let $(M,g_0)$ be an asymptotically flat $n$-manifold of nonnegative scalar curvature, with $n\geq 3$. The ADM mass is considered under the convergence of asymptotically flat manifo…