Variational characterizations of \(\xi\)-submanifolds in the Eulicdean space \(\mathbb{R}^{m+p}\)

DOI10.1007/S10231-019-00928-8zbMath1444.53058arXiv1612.09024OpenAlexW2991037856WikidataQ125757889 ScholiaQ125757889MaRDI QIDQ778050

Zhaoping Li, Xing Xiao Li

Publication date: 30 June 2020

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.09024

zbMATH Keywords

stabilityself-shrinkervariation formulaGaussian space\(\xi\)-submanifold

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Local submanifolds (53B25) Flows related to mean curvature (53E10)

Related Items (5)

General rotational ξ−surfaces in Euclidean spaces ⋮ A uniqueness theorem of complete Lagrangian translator in \(\mathbb C^2\) ⋮ A Bernstein-type theorem for -submanifolds with flat normal bundle in the Euclidean spaces ⋮ Classification theorems of complete space-like Lagrangian \(\xi\)-surfaces in the pseudo-Euclidean space \(\mathbb{R}^4_2\) ⋮ A characterization of the standard tori in \(\mathbb{C}^2\) as compact Lagrangian \(\xi \)-submanifolds

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