Geometric inequalities for free boundary hypersurfaces in a ball
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Publication:2673427
DOI10.1007/s10455-022-09836-2zbMath1498.53053arXiv2110.12169OpenAlexW3208755363MaRDI QIDQ2673427
Yingxiang Hu, Haizhong Li, Yimin Chen
Publication date: 9 June 2022
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.12169
Global submanifolds (53C40) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
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Cites Work
- Unnamed Item
- The inverse mean curvature flow perpendicular to the sphere
- Sharp eigenvalue bounds and minimal surfaces in the ball
- Rigidity for closed totally umbilical hypersurfaces in space forms
- Inequalities of Alexandrov-Fenchel type for convex hypersurfaces in hyperbolic space and in the sphere
- A Minkowski type inequality in space forms
- A monotonicity formula for free boundary surfaces with respect to the unit ball
- The first Steklov eigenvalue, conformal geometry, and minimal surfaces
- Almost-Schur lemma
- Geometric inequalities for hypersurfaces with nonnegative sectional curvature in hyperbolic space
- Optimal rigidity estimates for nearly umbilical surfaces
- The quermassintegral inequalities for \(k\)-convex starshaped domains
- Compact hypersurfaces with constant scalar curvature and a congruence theorem
- On stability of capillary surfaces in a ball
- Variational properties of functions of the mean curvatures for hypersurfaces in space forms
- Stability of capillary hypersurfaces in a Euclidean ball
- Volume preserving flow and Alexandrov-Fenchel type inequalities in hyperbolic space
- Locally constrained curvature flows and geometric inequalities in hyperbolic space
- Minkowski inequalities via nonlinear potential theory
- Alexandrov-Fenchel inequalities for convex hypersurfaces with free boundary in a ball
- A mean curvature type flow with capillary boundary in a unit ball
- Harmonic mean curvature flow and geometric inequalities
- On an inequality of Andrews, De Lellis, and Topping
- Uniqueness of stable capillary hypersurfaces in a ball
- An integral formula and its applications on sub-static manifolds
- A geometric inequality on hypersurface in hyperbolic space
- Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space
- Hyperbolic Alexandrov-Fenchel quermassintegral inequalities. II
- A Generalization of Reilly's Formula and its Applications to a New Heintze–Karcher Type Inequality
- A Minkowski Inequality for Hypersurfaces in the Anti‐de Sitter‐Schwarzschild Manifold
- Geometric inequalities for static convex domains in hyperbolic space
- Locally constrained inverse curvature flows
- A geometric inequality for convex free boundary hypersurfaces in the unit ball
