New characterizations of the Clifford torus as a Lagrangian self-shrinker

DOI10.1007/s12220-016-9723-xzbMath1369.53049arXiv1505.05593OpenAlexW315434102MaRDI QIDQ2012957

Haizhong Li, Xian Feng Wang

Publication date: 3 August 2017

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.05593

zbMATH Keywords

mean curvature flowClifford torusrigidityGauss curvatureLagrangian self-shrinker

Mathematics Subject Classification ID

Related Items (12)

On the Lagrangian angle and the Kähler angle of immersed surfaces in the complex plane \(\mathbb{C}^2\) ⋮ Complete Lagrangian self-shrinkers in \(\mathbb{R}^4\) ⋮ Rigidity results for self-shrinking surfaces in \(\mathbb{R}^4\) ⋮ Complete space-like \(\lambda \)-surfaces in the Minkowski space \(\mathbb{R}_1^3\) with the second fundamental form of constant length ⋮ General rotational ξ−surfaces in Euclidean spaces ⋮ A uniqueness theorem of complete Lagrangian translator in \(\mathbb C^2\) ⋮ Complete \(\lambda\)-surfaces in \(\mathbb{R}^3\) ⋮ Classification theorems of complete space-like Lagrangian \(\xi\)-surfaces in the pseudo-Euclidean space \(\mathbb{R}^4_2\) ⋮ Complete self-shrinkers with constant norm of the second fundamental form ⋮ Variational characterizations of \(\xi\)-submanifolds in the Eulicdean space \(\mathbb{R}^{m+p}\) ⋮ A characterization of the standard tori in \(\mathbb{C}^2\) as compact Lagrangian \(\xi \)-submanifolds ⋮ Polynomial Vector Fields on the Clifford Torus

Cites Work

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