Self-shrinkers for the mean curvature flow in arbitrary codimension

DOI10.1007/s00209-012-1104-yzbMath1271.53063OpenAlexW1978718901MaRDI QIDQ358867

Jun Sun, Claudio Arezzo

Publication date: 9 August 2013

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-012-1104-y

zbMATH Keywords

mean curvature flow\(F\)-stablesymplecticself-shrinkers

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (21)

Complexity of parabolic systems ⋮ Hamiltonian F-stability of complete Lagrangian self-shrinkers ⋮ Eigenvalues of the drifted Laplacian on complete metric measure spaces ⋮ On the Lagrangian angle and the Kähler angle of immersed surfaces in the complex plane \(\mathbb{C}^2\) ⋮ Vanishing theorems, higher order mean curvatures and index estimates for self-shrinkers ⋮ Self-shrinker type submanifolds in the Euclidean space ⋮ Lagrangian F-stability of closed Lagrangian self-shrinkers ⋮ Rigidity of complete self-shrinkers whose tangent planes omit a nonempty set ⋮ General rotational ξ−surfaces in Euclidean spaces ⋮ Uniqueness of conical singularities for mean curvature flows ⋮ Uniqueness of asymptotically conical higher codimension self-shrinkers and self-expanders ⋮ Mean curvature flow by the Allen–Cahn equation ⋮ Hamiltonian L-stability of Lagrangian translating solitons ⋮ Evolution of form and shape ⋮ Classification of complete 3-dimensional self-shrinkers in the Euclidean space \(\mathbb{R}^4\) ⋮ Remarks on the self-shrinking Clifford torus ⋮ Unnamed Item ⋮ Skew mean curvature flow ⋮ Topics in differential geometry associated with position vector fields on Euclidean submanifolds ⋮ Conformal solitons to the mean curvature flow and minimal submanifolds ⋮ Stabilities of homothetically shrinking Yang-Mills solitons

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