Existence of Incompressible Minimal Surfaces and the Topology of Three Dimensional Manifolds with Non-Negative Scalar Curvature

1979/07/01 by R. Schoen, Shing-Tung Yau, Shing–Tung Yau · 75 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research

paper · doi:10.2307/1971247

Cited by

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• The work of Jesse Douglas on Minimal Surfaces
• Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature
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• Non-negative scalar curvature on spin surgeries and Novikov conjecture
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• Minimal immersions of compact bordered Riemann surfaces with free boundary
• Recent Developments on the Ricci Flow
• The systole of large genus minimal surfaces in positive Ricci curvature
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• Splitting of 3-Manifolds and Rigidity of Area-Minimising Surfaces
• Rigidity of marginally outer trapped 2-spheres
• Counting essential minimal surfaces in closed negatively curved n-manifolds
• Sweeping out 3-manifold of positive Ricci curvature by short 1-cycles via estimates of min-max surfaces
• A note on the rigidity of marginally outer trapped 2-spheres
• Examples of stable embedded minimal spheres without area bounds
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• Thick hyperbolic 3-manifolds with bounded rank
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• The Deformation of Lagrangian Minimal Surfaces in Kahler-Einstein Surfaces
• A quantitative relative index theorem and Gromov's conjectures on positive scalar curvature
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• Computing Harmonic Maps and Conformal Maps on Point Clouds
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• Examples of cosmological spacetimes without CMC Cauchy surfaces. [europepmc]
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