Mixed volume preserving flow by powers of homogeneous curvature functions of degree one
From MaRDI portal
Publication:5007068
DOI10.1142/S0129167X2150052XzbMath1473.53104arXiv1610.08214OpenAlexW3156163751MaRDI QIDQ5007068
Publication date: 18 August 2021
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.08214
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Geometric evolution equations (53E99) Flows related to mean curvature (53E10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Function theory on manifolds which possess a pole
- Moving surfaces by non-concave curvature functions
- Flow by mean curvature of convex surfaces into spheres
- Volume-preserving flow by powers of the \(m\)th mean curvature
- Volume-preserving mean curvature flow of revolution hypersurfaces in a rotationally symmetric space
- The volume-preserving mean curvature flow in Euclidean space
- Deforming convex hypersurfaces by the \(n\)th root of the Gaussian curvature
- Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature
- Deforming convex hypersurfaces by the square root of the scalar curvature
- The heat equation shrinking convex plane curves
- An expansion of convex hypersurfaces
- Curvature estimates for minimal hypersurfaces
- Total curvatures of convex hypersurfaces in hyperbolic space
- Contraction of convex hypersurfaces in Riemannian spaces
- Contraction of convex hypersurfaces in Euclidean space
- Volume-preserving mean curvature flow of rotationally symmetric surfaces
- Starshaped hypersurfaces and the mean curvature flow
- Behaviour of singularities of the rotationally symmetric, volume-preserving mean curvature flow
- The mixed volume preserving mean curvature flow
- Motion of hypersurfaces by Gauss curvature
- Volume-preserving flow by powers of the \(m\text{-th}\) mean curvature in the hyperbolic space
- The normalized mean curvature flow for a small bubble in a Riemannian manifold.
- Gauss curvature flow: The fate of the rolling stones
- Three-manifolds with positive Ricci curvature
- The foliation of asymptotically hyperbolic manifolds by surfaces of constant mean curvature (including the evolution equations and estimates)
- Entropy estimates for evolving hypersurfaces
- Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature
- Volume preserving curvature flows in Lorentzian manifolds
- Surfaces contracting with speed \(| A|^2\)
- Minimal varieties in Riemannian manifolds
- The surface area preserving mean curvature flow
- Mixed volume preserving curvature flows
- Evolution of convex hypersurfaces by powers of the mean curvature
- 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
- Hölder estimates for nonlinear degenerate parabolic sytems.
- Deforming a hypersurface by its Gauss-Kronecker curvature
- The volume preserving mean curvature flow.
- A CERTAIN PROPERTY OF SOLUTIONS OF PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTS
- The volume preserving mean curvature flow near spheres
- $C^\{2,\alpha \}$ estimate of a parabolic Monge-Ampère equation on $S^\{n\}$
- Volume preserving anisotropic mean curvature flow
- On Hypersurfaces of Hyperbolic Space Infinitesimally Supported by Horospheres
- Pinching estimates and motion of hypersurfaces by curvature functions
- Volume preserving mean curvature flow in the hyperbolic space
This page was built for publication: Mixed volume preserving flow by powers of homogeneous curvature functions of degree one