Asymptotic behavior of flows by powers of the Gaussian curvature
From MaRDI portal
Publication:1699384
DOI10.4310/ACTA.2017.v219.n1.a1zbMath1385.53054arXiv1610.08933MaRDI QIDQ1699384
Kyeongsu Choi, Simon Brendle, Panagiota Daskalopoulos
Publication date: 23 February 2018
Published in: Acta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.08933
Related Items (62)
Self-similar solutions to fully nonlinear curvature flows by high powers of curvature ⋮ On a non-homogeneous version of a problem of Firey ⋮ Evolution of noncompact hypersurfaces by inverse mean curvature ⋮ A unified flow approach to smooth, even \(L_p\)-Minkowski problems ⋮ A class of inverse curvature flows and 𝐿^{𝑝} dual Christoffel-Minkowski problem ⋮ Deforming a hypersurface by principal radii of curvature and support function ⋮ Uniqueness of convex ancient solutions to hypersurface flows ⋮ On the planar dual Minkowski problem ⋮ Smooth solutions to the Gauss image problem ⋮ Li-Yau inequalities in geometric analysis ⋮ The continuity equation of the Gauduchon metrics ⋮ Contracting axially symmetric hypersurfaces by powers of the \(\sigma_k\)-curvature ⋮ On the stability of the \(L_p\)-curvature ⋮ The \(L_p\)-Brunn-Minkowski inequality for \(p<1\) ⋮ On the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase ⋮ On the \(L_p\) Gaussian Minkowski problem ⋮ Closed self-similar solutions to flows by negative powers of curvature ⋮ Ancient solutions of geometric flows with curvature pinching ⋮ Smooth solutions to the \(L_p\) dual Minkowski problem ⋮ Uniqueness of self‐similar solutions to flows by quotient curvatures ⋮ Curvature estimates for semi-convex solutions of Hessian equations in hyperbolic space ⋮ Uniqueness of solutions to a class of mixed Hessian quotient type equations ⋮ Uniqueness of solutions to \(L_p\)-Christoffel-Minkowski problem for \(p < 1\) ⋮ Constant rank theorems for curvature problems via a viscosity approach ⋮ Flow by powers of the Gauss curvature in space forms ⋮ Prescribed curvature measure problem in hyperbolic space ⋮ Uniqueness of solutions to a class of isotropic curvature problems ⋮ On the uniqueness of solutions to the isotropic \(L_p\) dual Minkowski problem ⋮ Poincaré type inequality for hypersurfaces and rigidity results ⋮ Non-homothetic convex ancient solutions for flows by high powers of curvature ⋮ ITERATIONS OF CURVATURE IMAGES ⋮ The \(L_p\) chord Minkowski problem for negative \(p\) ⋮ Nonuniqueness of solutions to the \(L_p\) chord Minkowski problem ⋮ Prescribed \(L_p\) curvature problem ⋮ Translating solitons to flows by powers of the Gaussian curvature in Riemannian products ⋮ A class of curvature flows expanded by support function and curvature function ⋮ The continuity equation of almost Hermitian metrics ⋮ Unnamed Item ⋮ The limit shape of convex hull peeling ⋮ Uniqueness of closed self-similar solutions to \(\sigma_k^\alpha\)-curvature flow ⋮ Self-similar solutions of curvature flows in warped products ⋮ A flow method for the dual Orlicz–Minkowski problem ⋮ Translating solutions to the Gauss curvature flow with flat sides ⋮ A class of anisotropic expanding curvature flows ⋮ Weak Harnack inequalities for eigenvalues and constant rank theorems ⋮ Contraction of surfaces in hyperbolic space and in sphere ⋮ Variations of a class of Monge-Ampère-type functionals and their applications ⋮ The \(L_p\) dual Minkowski problem and related parabolic flows ⋮ Contracting self-similar solutions of nonhomogeneous curvature flows ⋮ Gauss curvature flow with an obstacle ⋮ Contracting convex hypersurfaces in space form by non-homogeneous curvature function ⋮ 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 ⋮ Flowing the leaves of a foliation with normal speed given by the logarithm of general curvature functions ⋮ Evolving compact locally convex curves and convex hypersurfaces ⋮ Existence of smooth even solutions to the dual Orlicz-Minkowski problem ⋮ Convergence of Gauss curvature flows to translating solitons ⋮ A class of Gauss curvature flows and its applications to an even dual Orlicz-Minkowski type problem ⋮ Pogorelov type \(C^2\) estimates for sum Hessian equations and a rigidity theorem ⋮ Anisotropic Gauss curvature flows and their associated Dual Orlicz-Minkowski problems ⋮ Inverse Gauss curvature flows and Orlicz Minkowski problem ⋮ Uniqueness of solutions to the logarithmic Minkowski problem in \(\mathbb{R}^3\)
This page was built for publication: Asymptotic behavior of flows by powers of the Gaussian curvature
