Rigidity of area minimizing tori in 3-manifolds of nonnegative scalar curvature

From MaRDI portal
Publication:5929585

DOI10.4310/CAG.2000.v8.n3.a6zbMath0994.53028arXivmath/9804096MaRDI QIDQ5929585

Gregory J. Galloway, Mingliang Cai

Publication date: 5 April 2001

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9804096




Related Items

Mathematical general relativity: A samplerDiscs area-minimizing in mean convex Riemanniann-manifoldsRigidity of free boundary surfaces in compact 3-manifolds with strictly convex boundaryRigidity of area-minimizing hyperbolic surfaces in three-manifoldsFree boundary hypersurfaces with non-positive Yamabe invariant in mean convex manifoldsA generalization of Hawking's black hole topology theorem to higher dimensionsRigidity in dimension four of area-minimising Einstein manifoldsThe dihedral rigidity conjecture for \(n\)-prismsRigidity results of weighted area-minimizing hypersurfacesFree boundary stable hypersurfaces in manifolds with density and rigidity resultsEscobar-Yamabe compactifications for Poincaré-Einstein manifolds and rigidity theoremsRigidity of min-max minimal spheres in three-manifoldsA polyhedron comparison theorem for 3-manifolds with positive scalar curvatureSome scalar curvature warped product splitting theoremsEffective versions of the positive mass theoremArea estimates and rigidity of non-compact 𝐻-surfaces in 3-manifoldsRigidity of marginally outer trapped (hyper)surfaces with negative 𝜎-constantSplitting of 3-manifolds and rigidity of area-minimising surfacesCharged Hawking mass and local rigidity of three-manifoldsRigidity of area-minimizing free boundary surfaces in mean convex three-manifoldsMean-stable surfaces in static Einstein-Maxwell theoryOn area comparison and rigidity involving the scalar curvature