The Higher Dimensional Positive Mass Theorem II
作者： J. Lohkamp
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摘要: We derive the Space-Time Positive Mass theorem in arbitrary dimensions, without topological constraints. The main new tools are skin structures and surgeries on minimal marginally outer trapped hypersurfaces.
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Nathan Smale, Generic regularity of homologically area minimizing hypersurfaces in eight dimensional manifolds Communications in Analysis and Geometry. ,vol. 1, pp. 217- 228 ,(1993) , 10.4310/CAG.1993.V1.N2.A2
Francis Clarke, Existence and regularity Graduate Texts in Mathematics. pp. 473- 489 ,(2013) , 10.1007/978-1-4471-4820-3_23
Richard M. Schoen, Variational theory for the total scalar curvature functional for riemannian metrics and related topics Springer Berlin Heidelberg. pp. 120- 154 ,(1989) , 10.1007/BFB0089180
Marc Mars, Stability of Marginally Outer Trapped Surfaces and Applications Recent Trends in Lorentzian Geometry. pp. 111- 138 ,(2012) , 10.1007/978-1-4614-4897-6_4
Mariano Giaquinta, Cartesian currents in the calculus of variations ,(1983)
Steven G Krantz, Harold R Parks, None, Geometric Integration Theory ,(2008)
Enrico Giusti, Minimal surfaces and functions of bounded variation ,(1977)
Herbert Federer, Geometric Measure Theory ,(1969)
M.A. Khuri, F.C. Marques, R.M. Schoen, A compactness theorem for the Yamabe problem Journal of Differential Geometry. ,vol. 81, pp. 143- 196 ,(2009) , 10.4310/JDG/1228400630
Joachim Lohkamp, Negative bending of open manifolds Journal of Differential Geometry. ,vol. 40, pp. 461- 474 ,(1994) , 10.4310/JDG/1214455775