arXiv (All)
open access
Total Mean Curvature Gaps for Scalar-Flat Hypersurfaces
We prove that a complete connected scalar-flat Euclidean hypersurface of dimension $n\geq3$ is an affine hyperplane if its normalized mean curvature has sufficiently small $L^n$ norm. We also compute the total mean curvature energy of a classical rotational scalar-flat family to show that finiteness
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Local rigidity of constant mean curvature hypersurfaces in space forms (II)#1083438
- Minimal Two-Spheres and Manifolds with Positive Isotropic Curvature#974989
- Isoparametric Hypersurfaces in Products of Simply Connected Space Forms#1143640
- Cohomogeneity one Hermann actions and backward mean curvature flows#1357539
- Rigidity, sharp inequalities, and stability for $σ_2$-curvature#997395
Record · ID 1389599
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive