Parabolic hypersurfaces with constant mean curvature in Euclidean space
DOI10.36045/j.bbms.200301zbMath1496.53010OpenAlexW4200228051WikidataQ114024490 ScholiaQ114024490MaRDI QIDQ2078103
Mario Hernández, Josué Meléndez
Publication date: 25 February 2022
Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.36045/j.bbms.200301
mean curvatureGauss-Kronecker curvature\(\mathrm{O}(m)\times \mathrm{O}(n)\)-invariant hypersurfacesparabolic hypersurfaces
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)
Cites Work
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- New examples of constant mean curvature immersions of (2k-1)-spheres into euclidean 2k-space
- Generalized rotational hypersurfaces of constant mean curvature in the euclidean spaces. I
- Hypersurfaces with constant scalar curvature
- Remarks on hypersurfaces with constant higher order mean curvature in Euclidean space
- \(O(m) \times O(n)\)-invariant minimal hypersurfaces in \(\mathbb R^{m+n}\)
- Complete surfaces in \(E^ 3\) with constant mean curvature
- Geometry of Hypersurfaces
- Rotation Hypersurfaces in Spaces of Constant Curvature
- On Complete Hypersurfaces of Nonnegative Sectional Curvatures and Constant mth Mean Curvatures
- Minimal Hypersurfaces of R 2m Invariant by SO(m) × SO(m)
- On a new class of embedded hypersurfaces in with nonzero constant mean curvature
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