International Congress of Mathematicians

[23;[24;[25;[26;[27[28;[29'[30^Black Holes and the Penrose Inequality in General Relativity 271[12] D. Christodoulou and S.-T. Yau, Some Remarks on the Quasi-Local Mass,Contemporary Mathematics 71 (1988), 9-14.[is; R. Geroch, Energy Extraction, Ann. New York Acad. Sci. 224 (1973), 108-17.G. Gibbons, Collapsing Shells and the Isoperimetric Inequality for Black Holes,Class. Quant. Grav. 14 (1997), 2905.[is; S. W. Hawking and G. F. R. Ellis, The Large-ScaleCambridge University Press, Cambridge, 1973.Structure of Space-Time,[ie; M. Herzlich, A Penrose-like Inequality for the Mass of Riemannian AsymptoticallyFlat Manifolds, Comm. Math. Phys. 188 (1997), 121.[ir G. Huisken and T. Ilmanen, The Inverse Mean Curvature Flow and the RiemannianPenrose Inequality, J. Diff. Geom (to appear).[is; G. Huisken and T. Ilmanen, The Riemannian Penrose Inequality, Int. Math.Res. Not. 20 (1997), 1045-1058.[19; G. Huisken and T. Ilmanen, A Note on Inverse Mean Curvature Flow, Proceedingsof the Workshop on Nonlinear Partial Differential Equations (SaitamaUniversity, Sept. 1997), available from Saitama University.[20; P. S. Jang and R. M. Wald, The Positive Energy Conjecture and the CosmicCensor Hypothesis, J. Math. Phys. 18 (1977), 41-44.[21 M. Ludvigsen and J. Vickers, 1983, J. Phys. A: Math. Gen. 16, 3349.[22; T. H. Parker and C. H. Taubes, On Witten's Proof of the Positive Energy-Theorem, Commun. Math. Phys. 84 (1982), 223-238.R. Penrose, Naked Singularities, Ann. New York Acad. Sci. 224 (1973), 125-134.R. Schoen, Variational Theory for the Total Scalar Curvature Functional forRiemannian Metrics and Related Topics, Topics in Calculus of Variations (M.Giaquinta, ed.) Lecture Notes in Math., 1365, 120-1-54, Springer, Berlin, 1987.R. Schoen and S.-T. Yau, On the Proof of the Positive Mass Conjecture inGeneral Relativity, Comm. Math. Phys. 65 (1979), 45-76.R. Schoen and S.-T. Yau, Positivity of the Total Mass of a General Space-Time,Phys. Rev. Lett. 43 (1979), 1457-1459.R. Schoen and S.-T. Yau, Proof of the Positive Mass Theorem II, Comm. Math.Phys. 79 (1981), 231-260.R. Schoen and S.-T. Yau, The Energy and the Linear Momentum of Space-Times in General Relativity, Comm. Math. Phys. 79 (1981), 47-51.K. P. Tod. Class. Quant. Grav. 9 (1992), 1581-1591.E. Witten, A New Proof of the Positive Energy Theorem, Comm. Math. Phys.80 (1981), 381-402.