A representation formula for the inverse harmonic mean curvature flow

DOI10.4171/EM/9zbMath1091.53044OpenAlexW2001884641MaRDI QIDQ815025

Knut Smoczyk

Publication date: 8 February 2006

Published in: Elemente der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/em/9

zbMATH Keywords

hypersurfacesinverse harmonic mean curvature flow

Mathematics Subject Classification ID

Related Items (8)

Pinching and asymptotical roundness for inverse curvature flows in Euclidean space ⋮ The Hele-Shaw injection problem for an extremely shear-thinning fluid ⋮ Inverse curvature flows in Riemannian warped products ⋮ Evolving convex surfaces to constant width ones ⋮ PARABOLIC CLASSICAL CURVATURE FLOWS ⋮ Evolving to non-round Weingarten spheres: integer linear Hopf flows ⋮ Evolving compact locally convex curves and convex hypersurfaces ⋮ Representation formulae for higher order curvature flows

Cites Work

• Stability of solutions of nonlinear parabolic equations for harmonic mean curvature flows
• Flow of nonconvex hypersurfaces into spheres
• Expansion of convex hypersurfaces by nonhomogeneous functions of curvature
• An expansion of convex hypersurfaces
• Contraction of convex hypersurfaces in Riemannian spaces
• The inverse mean curvature flow and the Riemannian Penrose inequality
• On the nonlinear parabolic equation \(\partial_ t u=F(\Delta u+nu)\) on \(S^ n\)
• Spherical harmonics
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Contraction of surfaces by harmonic mean curvature flows and nonuniqueness of their self similar solutions
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