Volume preserving flow by powers of symmetric polynomials in the principal curvatures
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Publication:1668456
DOI10.1007/s00209-017-1995-8zbMath1457.53071arXiv1708.04573OpenAlexW2964186181MaRDI QIDQ1668456
Carlo Sinestrari, Maria Chiara Bertini
Publication date: 28 August 2018
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.04573
Asymptotic behavior of solutions to PDEs (35B40) Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Flows related to mean curvature (53E10)
Related Items (2)
Snapshots of non-local constrained mean curvature-type flows ⋮ Contracting convex hypersurfaces in space form by non-homogeneous curvature function
Cites Work
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- Contracting convex hypersurfaces by curvature
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- Convex ancient solutions of the mean curvature flow
- Volume-preserving flow by powers of the \(m\)th mean curvature
- Deforming convex hypersurfaces by the \(n\)th root of the Gaussian curvature
- Compact hypersurfaces with constant higher order mean curvatures
- Contraction of convex hypersurfaces in Euclidean space
- The mixed volume preserving mean curvature flow
- Volume-preserving nonhomogeneous mean curvature flow of convex hypersurfaces
- More mixed volume preserving curvature flows
- Gauss curvature flow: The fate of the rolling stones
- Surfaces contracting with speed \(| A|^2\)
- Mixed volume preserving curvature flows
- Convex hypersurfaces with pinched principal curvatures and flow of convex hypersurfaces by high powers of curvature
- Evolution of hypersurfaces by powers of the scalar curvature
- Deforming a hypersurface by its Gauss-Kronecker curvature
- The volume preserving mean curvature flow.
- Volume preserving anisotropic mean curvature flow
- Some integral formulas for closed hypersurfaces
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