Evolution of hypersurfaces by their curvature in Riemannian manifolds

zbMath0912.53038MaRDI QIDQ1126782

Gerhard Huisken

Publication date: 6 August 1998

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227789

zbMATH Keywords

mean curvature flowsingularitiesinverse mean curvature flowgeometric evolution equationsRiemannian Penrose inequality

Mathematics Subject Classification ID

Global submanifolds (53C40) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Initial value problems for linear higher-order PDEs (35G10) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Higher-order parabolic equations (35K25)

Related Items (7)

Unnamed Item ⋮ Weighted geometric inequalities for hypersurfaces in sub‐static manifolds ⋮ Weighted Alexandrov–Fenchel inequalities in hyperbolic space and a conjecture of Ge, Wang, and Wu ⋮ Penrose-like inequality with angular momentum for minimal surfaces ⋮ Comments on Penrose inequality with angular momentum for outermost apparent horizons ⋮ Null hypersurfaces evolved by their mean curvature in a Lorentzian manifold ⋮ Curvature contraction flows in the sphere

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