Convexity estimates for mean curvature flow and singularities of mean convex surfaces

1999/01/01 by Gerhard Huisken, Carlo Sinestrari · 25 citations
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities

paper · pdf · doi:10.1007/bf02392946

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• Contracting convex surfaces by mean curvature flow with free boundary on convex barriers
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• A gradient estimate for the linearized translator equation
• Dirichlet problem for degenerate Hessian quotient type curvature equations
• The classical Neumann problem for a class of mixed Hessian equations
• The global curvature estimate for the n-2 Hessian equation
• A class of curvature type equations
• Fully nonlinear equations of Krylov type on Riemannian manifolds with negative curvature
• Bifurcation of perturbations of non-generic closed self-shrinkers