A note on rigidity theorem of λ-hypersurfaces
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Publication:5213167
DOI10.1017/PRM.2018.116zbMath1433.53120OpenAlexW2908639379WikidataQ125096874 ScholiaQ125096874MaRDI QIDQ5213167
Publication date: 31 January 2020
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/prm.2018.116
mean curvatureweighted area functionalweighted volume-preserving mean curvature flow\( \lambda \)-hypersurfaces
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Flows related to mean curvature (53E10)
Related Items (4)
Complete space-like \(\lambda \)-surfaces in the Minkowski space \(\mathbb{R}_1^3\) with the second fundamental form of constant length ⋮ Some rigidity properties for \(\lambda\)-self-expanders ⋮ Rigidity theorems for complete \(\lambda\)-hypersurfaces ⋮ Complete \(\lambda\)-hypersurfaces in Euclidean spaces
Cites Work
- Generic mean curvature flow. I: Generic singularities
- Blow-up rate of the mean curvature during the mean curvature flow and a gap theorem for self-shrinkers
- Rigidity theorems of \(\lambda\)-hypersurfaces
- Complete \(\lambda \)-hypersurfaces of weighted volume-preserving mean curvature flow
- A gap theorem for self-shrinkers of the mean curvature flow in arbitrary codimension
- A new pinching theorem for complete self-shrinkers and its generalization
- On the existence of a closed, embedded, rotational \(\lambda \)-hypersurface
- Gap theorems for complete \(\lambda\)-hypersurfaces
- Gap and rigidity theorems of 𝜆-hypersurfaces
- A gap theorem of self-shrinkers
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