An immersed \(S^n \lambda\)-hypersurface

DOI10.1007/s12220-023-01351-5zbMath1519.53052arXiv2204.11390OpenAlexW4382396818MaRDI QIDQ6133217

Guoxin Wei, Unnamed Author

Publication date: 21 July 2023

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

Full work available at URL: https://arxiv.org/abs/2204.11390

zbMATH Keywords

immersed hypersurfacesrotational hypersurfaces\(\lambda\)-hypersurfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

• Unnamed Item
• Generic mean curvature flow. I: Generic singularities
• Rigidity theorems of \(\lambda\)-hypersurfaces
• The hyperplane is the only stable, smooth solution to the isoperimetric problem in Gaussian space
• Examples of compact \(\lambda\)-hypersurfaces in Euclidean spaces
• Mean curvature self-shrinkers of high genus: non-compact examples
• Complete bounded \(\lambda\)-hypersurfaces in the weighted volume-preserving mean curvature flow
• Shrinking doughnuts via variational methods
• A survey of closed self-shrinkers with symmetry
• Complete \(\lambda \)-hypersurfaces of weighted volume-preserving mean curvature flow
• Complete \(\lambda\)-hypersurfaces in Euclidean spaces
• On the existence of a closed, embedded, rotational \(\lambda \)-hypersurface
• Gap theorems for complete \(\lambda\)-hypersurfaces
• Stability and area growth of \(\lambda\)-hypersurfaces
• Gap and rigidity theorems of 𝜆-hypersurfaces
• Computation of Self-Similar Solutions for Mean Curvature Flow
• An immersed 𝑆² self-shrinker
• Immersed self-shrinkers

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