Flow of nonconvex hypersurfaces into spheres

From MaRDI portal
Publication:920420

DOI10.4310/jdg/1214445048zbMath0708.53045OpenAlexW2111024532WikidataQ115182085 ScholiaQ115182085MaRDI QIDQ920420

Claus Gerhardt

Publication date: 1990

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214445048



Related Items

Contraction of convex hypersurfaces in Euclidean space, An Alexandrov-Fenchel-type inequality in hyperbolic space with an application to a Penrose inequality, Evolution of noncompact hypersurfaces by inverse mean curvature, Minkowski inequalities via nonlinear potential theory, Inverse anisotropic mean curvature flow and a Minkowski type inequality, Weak solutions of inverse mean curvature flow for hypersurfaces with boundary, Classification of limiting shapes for isotropic curve flows, Harnack inequalities for evolving hypersurfaces, Pinching and asymptotical roundness for inverse curvature flows in Euclidean space, Non-scale-invariant inverse curvature flows in Euclidean space, The harmonic mean curvature flow of nonconvex surfaces in \({\mathbb{R}^3}\), Non-parametric inverse curvature flows in the AdS-Schwarzschild manifold, Inverse mean curvature flows in warped product manifolds, A homotopy approach to solving the inverse mean curvature flow, Existence and linear stability of solutions of the ballistic VSC model, Finite Element Approximation of Level Set Motion by Powers of the Mean Curvature, The inverse mean curvature flow and \(p\)-harmonic functions, Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds, Strict starshapedness of solutions to the horizontal \(p\)-Laplacian in the Heisenberg group, Inverse mean curvature flow for star-shaped hypersurfaces evolving in a cone, On an inverse curvature flow in two-dimensional space forms, On inverse mean curvature flow in Schwarzschild space and Kottler space, Expansion of embedded curves with turning angle greater than \(-\pi\), A fully nonlinear flow for two-convex hypersurfaces in Riemannian manifolds, Lagrangian homothetic solitons for the inverse mean curvature flow, Inverse anisotropic curvature flow from convex hypersurfaces, Life-span of classical solutions to hyperbolic inverse mean curvature flow, Stability of the PMT and RPI for asymptotically hyperbolic manifolds foliated by IMCF, Minkowski inequality for nearly spherical domains, A note on expansion of convex plane curves via inverse curvature flow, New pinching estimates for inverse curvature flows in space forms, Translating solitons for the inverse mean curvature flow, Inverse curvature flows in Riemannian warped products, Geometric aspects of \(p\)-capacitary potentials, Shifted inverse curvature flows in hyperbolic space, Evolution of convex hypersurfaces by a fully nonlinear flow, Constructing electrically charged Riemannian manifolds with minimal boundary, prescribed asymptotics, and controlled mass, A curvature flow to the \(L_p\) Minkowski-type problem of \(q\)-capacity, Aleksandrov reflection for extrinsic geometric flows of Euclidean hypersurfaces, Backward uniqueness for the inverse mean curvature flow, The inverse mean curvature flow in rotationally symmetric spaces, On an area-preserving locally constrained inverse curvature flow of convex curves, Inverse mean curvature flow of rotationally symmetric hypersurfaces, Inequalities for quermassintegrals on \(k\)-convex domains, On Aleksandrov-Fenchel inequalities for \(k\)-convex domains, Self-similar solutions to the inverse mean curvature flow in \(\mathbb{R}^2\), Evolution equation of the Gauss curvature under hypersurface flows and its applications, Starshaped sets, On the parametric finite element approximation of evolving hypersurfaces in \(\mathbb R^3\), Variational discretization of axisymmetric curvature flows, Equifocal submanifolds in a symmetric space and the infinite dimensional geometry, Hyperbolic inverse mean curvature flow, Extension of a theorem of Shi and Tam, Surfaces expanding by non-concave curvature functions, Capacity inequalities and rigidity of cornered/conical manifolds, PARABOLIC CLASSICAL CURVATURE FLOWS, IMCF and the stability of the PMT and RPI under \(L^2\) convergence, Forced convex mean curvature flow in Euclidean spaces, \(P\)-capacity vs surface-area, A survey on inverse mean curvature flow in ROSSes, The mean curvature flow in Minkowski spaces, The Minkowski inequality in de Sitter space, Inverse curvature flows in asymptotically Robertson Walker spaces, Non-collapsing for a fully nonlinear inverse curvature flow, The Gårding cones in the modern theory of fully nonlinear second order differential equations, Existence of self-similar solutions of the inverse mean curvature flow, Unnamed Item, Sobolev stability of the positive mass theorem and Riemannian Penrose inequality using inverse mean curvature flow, Inverse mean curvature flow with forced term, Penrose inequalities and a positive mass theorem for charged black holes in higher dimensions, Monotonicity formulas in potential theory, The inverse mean curvature flow in warped cylinders of non-positive radial curvature, A class of inverse mean curvature type flows in the anti-de Sitter-Schwarzschild manifold, Weinstock inequality in higher dimensions, The \(L_p\) dual Minkowski problem and related parabolic flows, Isoperimetric inequalities for eigenvalues by inverse mean curvature flow, Asymptotic convergence for a class of fully nonlinear curvature flows, A class of curvature flows expanded by support function and curvature function in the Euclidean space and hyperbolic space, Curvature flow with a general forcing term in Euclidean spaces, Conformal curvature flows: from phase transitions to active vision, Extrinsic curvature flows and applications, The quermassintegral inequalities for \(k\)-convex starshaped domains, Inverse curvature flows of rotation hypersurfaces, Evolving to non-round Weingarten spheres: integer linear Hopf flows, Flowing the leaves of a foliation with normal speed given by the logarithm of general curvature functions, Sharp bounds for the anisotropic \(p\)-capacity of Euclidean compact sets, On asymptotic behavior for singularities of the powers of mean curvature flow, Nonhomogeneous expanding flows in hyperbolic spaces, Minkowski inequalities and constrained inverse curvature flows in warped spaces, Mixed volume preserving curvature flows, Asymptotic closeness to limiting shapes for expanding embedded plane curves, Evolution of convex hypersurfaces by powers of the mean curvature, A logarithmic Gauss curvature flow and the Minkowski problem., Non-scale-invariant inverse curvature flows in hyperbolic space, A non-homogeneous elliptic problem dealing with the level set formulation of the inverse mean curvature flow, Inverse mean curvature evolution of entire graphs, A representation formula for the inverse harmonic mean curvature flow, A two-point function, non-collapsing property and pinching estimates for inverse curvature flow in space forms, The inverse mean curvature flow perpendicular to the sphere, Inscribed radius estimates for inverse curvature flow in sphere and hyperbolic space, A class of inverse curvature flows in $\mathbb{R}^{n+1}$, II, A class of inverse curvature flows and 𝐿^{𝑝} dual Christoffel-Minkowski problem, The limit of the inverse mean curvature flow on a torus, A survey on extensions of Riemannian manifolds and Bartnik mass estimates, Existence of hypercylinder expanders of the inverse mean curvature flow, Closed self-similar solutions to flows by negative powers of curvature, A class of inverse quotient curvature flow in the AdS-Schwarzschild manifold, Remarks on solitons for inverse mean curvature flow, Locally constrained inverse curvature flow and an Alexandrov-Fenchel inequality in de Sitter space, Mean curvature type flow and sharp Michael-Simon inequalities, Geometric inequalities involving three quantities in warped product manifolds, Ruled surfaces as translating solitons of the inverse mean curvature flow in the three-dimensional Lorentz-Minkowski space, A curvature flow approach to \(L^p\) Christoffel-Minkowski problem for \(1<p<k+1\), Evolution of the first eigenvalue along the inverse mean curvature flow in space forms, Strong spherical rigidity of ancient solutions of expansive curvature flows, Weighted geometric inequalities for hypersurfaces in sub‐static manifolds, An anisotropic inverse mean curvature flow for spacelike graphic hypersurfaces with boundary in Lorentz-Minkowski space \(\mathbb{R}^{n+1}_1\), The Riemannian Penrose inequality for asymptotically flat manifolds with non-compact boundary, New weighted geometric inequalities for hypersurfaces in space forms, The asymptotic behaviour of \(p\)-capacitary potentials in asymptotically conical manifolds, Alexandrov-Fenchel inequalities for convex hypersurfaces in the half-space with capillary boundary, First eigenvalues of free boundary hypersurfaces in the unit ball along the inverse mean curvature flow, Stability of quermassintegral inequalities along inverse curvature flows, Nonhomogeneous inverse mean curvature flow in Euclidean space, Uniqueness theorems of self-conformal solutions to inverse curvature flows, Curvature Measures, Isoperimetric Type Inequalities and Fully Nonlinear PDEs, A note on inverse mean curvature flow in cosmological spacetimes, Flow expanding by Gauss curvature to $L_p$ dual Minkowski problems, Unnamed Item, Asymptotic convergence for a class of inverse mean curvature flows in ℝⁿ⁺¹, $\boldsymbol{O(m) \times O(n)}$ -invariant homothetic solitons for inverse mean curvature flow in $\boldsymbol {\mathbb{R}^{m+n}}$, Locally constrained inverse curvature flows, An application of dual convex bodies to the inverse Gauss curvature flow, A geometric inequality for convex free boundary hypersurfaces in the unit ball