The stability of self-shrinkers of mean curvature flow in higher co-dimension
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Publication:5496665
DOI10.1090/S0002-9947-2014-05969-2zbMath1315.53073arXiv1204.6116OpenAlexW2077240834MaRDI QIDQ5496665
Publication date: 2 February 2015
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.6116
Related Items (13)
Complexity of parabolic systems ⋮ Hamiltonian F-stability of complete Lagrangian self-shrinkers ⋮ Self-shrinker type submanifolds in the Euclidean space ⋮ Uniqueness of conical singularities for mean curvature flows ⋮ Uniqueness of asymptotically conical higher codimension self-shrinkers and self-expanders ⋮ Rigidity and gap results for the Morse index of self-shrinkers with any codimension ⋮ Hamiltonian L-stability of Lagrangian translating solitons ⋮ Evolution of form and shape ⋮ Remarks on the self-shrinking Clifford torus ⋮ Entropy and generic mean curvature flow in curved ambient spaces ⋮ Topics in differential geometry associated with position vector fields on Euclidean submanifolds ⋮ Compactness and finiteness theorems for rotationally symmetric self shrinkers ⋮ Stabilities of homothetically shrinking Yang-Mills solitons
Cites Work
- Generic mean curvature flow. I: Generic singularities
- \(\mathcal{F}\)-stability for self-shrinking solutions to mean curvature flow
- Flow by mean curvature of convex surfaces into spheres
- Asymptotic behavior for singularities of the mean curvature flow
- Self-similar solutions and translating solitons for Lagrangian mean curvature flow
- The normalized curve shortening flow and homothetic solutions
- Construction of Lagrangian self-similar solutions to the mean curvature flow in \(\mathbb C^n\)
- Hamiltonian stationary cones and self-similar solutions in higher dimension
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