Remarks on affine evolutions

DOI10.1007/BF02940814zbMath0878.53009MaRDI QIDQ1352270

Kurt Leichtweiß\

Publication date: 4 January 1998

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

strictly convex hypersurfaceaffine evolution of an ovaloid

Mathematics Subject Classification ID

Initial value problems for linear higher-order PDEs (35G10) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Affine differential geometry (53A15) Higher-order parabolic equations (35K25)

Related Items (1)

Monotonicity of spatial critical points evolving under curvature-driven flows

Cites Work

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• Flow by mean curvature of convex surfaces into spheres
• Curve shortening makes convex curves circular
• A geometric property of the boundary of symmetric convex bodies and convexity of flotation surfaces
• Deforming convex hypersurfaces by the \(n\)th root of the Gaussian curvature
• On affine plane curve evolution
• Contraction of convex hypersurfaces by their affine normal
• Isoperimetrische Ungleichungen für Bereiche auf Flächen

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