Entire Spacelike Hypersurfaces of Constant Mean Curvature in Minkowski Space |
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A¹³ approximating sequence B₁ ball of radius bounded c₁ chapter coefficients compact set Comparison Principle constant mean curvature constructed convex Corollary 2.9 covariant derivatives Covariant differentiation curvature H curvature in Minkowski curvature spacelike hypersurfaces data at infinity defined denote Dirichlet problem eigenvalue en+1 entire constant mean ENTIRE SPACELIKE HYPERSURFACES Euclidean topology existence proof Exterior differentiating f ij formula function geodesic ball global Hence hijk hyperboloid hypersurface of constant intrinsic isometry Lemma light cone Ln+1 Lorentz metric Lorentzian maximum principle mean curvature cuts mean curvature equation mean curvature hypersurfaces mean curvature spacelike metric Minkowski space obtain orthonormal frame projective boundary values radius assumption Ricci curvature satisfies second fundamental form subsolution subspace supersolution Suppose surfaces tangent Theorem 5.1 timelike Umbra uniformly elliptic vz|² ΔΙΙ