Two-dimensional graphs moving by mean curvature flow

DOI10.1007/s101140200163zbMath1028.53069OpenAlexW2062448023WikidataQ125817678 ScholiaQ125817678MaRDI QIDQ1862871

Jiayu Li, Tian, Gang, Chen, Jingyi

Publication date: 21 January 2004

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101140200163

zbMATH Keywords

mean curvature flowminimal surfaceasymptoticsself-similar solutiontotally geodesic surfaceKähler-Einstein manifoldsub-convergence2-dimensional graphs in \(\mathbb R^4\)estimation of the second fundamental form

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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Cites Work

• Flow by mean curvature of convex surfaces into spheres
• Asymptotic behavior for singularities of the mean curvature flow
• Mean curvature evolution of entire graphs
• Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature
• Singularities of the curve shrinking flow for space curves
• Shortening space curves and flow through singularities
• Non-existence, non-uniqueness and irregularity of solutions to the minimal surface system
• The Motion of a Surface by Its Mean Curvature. (MN-20)
• Moving symplectic curves in Kähler-Einstein surfaces
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