The quermassintegral inequalities for \(k\)-convex starshaped domains

From MaRDI portal
Publication:1023046

DOI10.1016/j.aim.2009.03.005zbMath1170.53058arXiv0710.4307OpenAlexW2044799257MaRDI QIDQ1023046

Pengfei Guan, Junfang Li

Publication date: 10 June 2009

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.4307




Related Items

An Alexandrov-Fenchel-type inequality in hyperbolic space with an application to a Penrose inequalityEvolution of noncompact hypersurfaces by inverse mean curvatureMinkowski inequalities via nonlinear potential theoryInverse anisotropic mean curvature flow and a Minkowski type inequalityA Minkowski inequality for Horowitz-Myers geonAlexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ballPenrose-type inequalities with a Euclidean backgroundAlexandrov-Fenchel inequalities for convex hypersurfaces with free boundary in a ballPenrose type inequalities for asymptotically hyperbolic graphsA Minkowski Inequality for Hypersurfaces in the Anti‐de Sitter‐Schwarzschild ManifoldGauss-Bonnet-Chern mass and Alexandrov-Fenchel inequalityOn the minimization of total mean curvatureConvex sets evolving by volume-preserving fractional mean curvature flowsOn an inverse curvature flow in two-dimensional space formsOn inverse mean curvature flow in Schwarzschild space and Kottler spaceOn a Minkowski-like inequality for asymptotically flat static manifoldsGeometric inequalities for free boundary hypersurfaces in a ballMinkowski inequality for nearly spherical domainsMonotone quantities involving a weighted σk integral along inverse curvature flowsGeometric inequalities for static convex domains in hyperbolic spaceAn Alexandrov-Fenchel-type inequality for hypersurfaces in the sphereRemarks on solitons for inverse mean curvature flowBlaschke-Santaló type inequalities and quermassintegral inequalities in space formsMichael-Simon inequalities for \(k\)-th mean curvaturesTranslating solitons for the inverse mean curvature flowStability of the quermassintegral inequalities in hyperbolic spaceInverse curvature flows in Riemannian warped productsGeometric aspects of \(p\)-capacitary potentialsLocally constrained inverse curvature flow and an Alexandrov-Fenchel inequality in de Sitter spaceWeighted isoperimetric inequalities in warped product manifoldsMean curvature type flow and sharp Michael-Simon inequalitiesEvolution of convex hypersurfaces by a fully nonlinear flowMass, center of mass and isoperimetry in asymptotically flat 3-manifoldsNonlocal estimates for the volume preserving mean curvature flow and applicationsGeometric inequalities involving three quantities in warped product manifoldsRuled surfaces as translating solitons of the inverse mean curvature flow in the three-dimensional Lorentz-Minkowski spaceThe exterior Dirichlet problem for the homogeneous complex \(k\)-Hessian equationWeighted geometric inequalities for hypersurfaces in sub‐static manifoldsOn the mean curvature type flow for convex capillary hypersurfaces in the ballNew weighted geometric inequalities for hypersurfaces in space formsHypoelliptic operators in geometry. Abstracts from the workshop held May 21--26, 2023Alexandrov-Fenchel inequalities for convex hypersurfaces in the half-space with capillary boundaryStability of quermassintegral inequalities along inverse curvature flowsA fractional Michael-Simon Sobolev inequality on convex hypersurfacesOn an area-preserving locally constrained inverse curvature flow of convex curvesA positive mass theorem and Penrose inequality for graphs with noncompact boundaryInverse mean curvature flow of rotationally symmetric hypersurfacesUniqueness theorems of self-conformal solutions to inverse curvature flowsWillmore inequality on hypersurfaces in hyperbolic spaceInequalities for quermassintegrals on \(k\)-convex domainsOn Aleksandrov-Fenchel inequalities for \(k\)-convex domainsHardy-Poincaré type inequalities related to \(k\)-Hessian operatorHarmonic mean curvature flow and geometric inequalitiesA new mass for asymptotically flat manifoldsStarshaped setsA geometric inequality on hypersurface in hyperbolic spaceThe Gauss-Bonnet-Chern mass of higher-codimension graphsThe GBC mass for asymptotically hyperbolic manifoldsIsoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic spaceThe Gauss-Bonnet-Chern mass for graphic manifoldsConvexity of solutions and Brunn-Minkowski inequalities for Hessian equations in \(\mathbb{R}^3\)Weighted Alexandrov–Fenchel inequalities in hyperbolic space and a conjecture of Ge, Wang, and WuCurvature Measures, Isoperimetric Type Inequalities and Fully Nonlinear PDEsInverse mean curvature flows in the hyperbolic 3-space revisitedCapacity inequalities and rigidity of cornered/conical manifoldsA volume-preserving anisotropic mean curvature type flow\(P\)-capacity vs surface-areaHarnack inequality and pinching estimates for anisotropic curvature flow of hypersurfacesThe Minkowski inequality in de Sitter spaceOn the Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild spaceMass-Capacity Inequalities for Conformally Flat Manifolds with BoundaryInverse mean curvature flow with forced termPenrose inequalities and a positive mass theorem for charged black holes in higher dimensionsMonotonicity formulas in potential theoryThe planar Busemann-Petty centroid inequality and its stabilityA Gibbons-Penrose inequality for surfaces in Schwarzschild spacetimeRegularity of inverse mean curvature flow in asymptotically hyperbolic manifolds with dimension 3A class of inverse mean curvature type flows in the anti-de Sitter-Schwarzschild manifoldAleksandrov-Fenchel inequalities for unitary valuations of degree 2 and 3Isoperimetric inequalities for eigenvalues by inverse mean curvature flowA class of curvature flows expanded by support function and curvature function in the Euclidean space and hyperbolic spaceExtrinsic curvature flows and applicationsInverse curvature flows of rotation hypersurfacesA family of higher-order isoperimetric inequalities$\boldsymbol{O(m) \times O(n)}$ -invariant homothetic solitons for inverse mean curvature flow in $\boldsymbol {\mathbb{R}^{m+n}}$Global uniqueness of large stable CMC spheres in asymptotically flat Riemannian \(3\)-manifoldsAlexandrov-Fenchel type inequalities in the sphereA fully nonlinear locally constrained anisotropic curvature flowLocally constrained inverse curvature flowsThe equality case of the Penrose inequality for asymptotically flat graphsMinkowski inequalities and constrained inverse curvature flows in warped spacesUniversal Hardy–Sobolev inequalities on hypersurfaces of Euclidean spaceThe anisotropic \(p\)-capacity and the anisotropic Minkowski inequalityA two-point function, non-collapsing property and pinching estimates for inverse curvature flow in space formsA geometric inequality for convex free boundary hypersurfaces in the unit ball



Cites Work