Quantitative stability for anisotropic nearly umbilical hypersurfaces
From MaRDI portal
Publication:2318029
DOI10.1007/s12220-018-0079-2zbMath1421.53009arXiv1705.09994OpenAlexW2963994158MaRDI QIDQ2318029
Stefano Gioffrè, Antonio De Rosa
Publication date: 13 August 2019
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.09994
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Optimization of shapes other than minimal surfaces (49Q10) Rigidity results (53C24)
Related Items (10)
On the anisotropic Kirchhoff-Plateau problem ⋮ On compact embedded Weingarten hypersurfaces in warped products ⋮ New stability results for spheres and Wulff shapes ⋮ Stability of the quermassintegral inequalities in hyperbolic space ⋮ Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets ⋮ Bubbling with \(L^2\)-almost constant mean curvature and an Alexandrov-type theorem for crystals ⋮ A non local approximation of the Gaussian perimeter: gamma convergence and isoperimetric properties ⋮ Absence of bubbling phenomena for non-convex anisotropic nearly umbilical and quasi-Einstein hypersurfaces ⋮ On compact anisotropic Weingarten hypersurfaces in Euclidean space ⋮ Sphere theorems and eigenvalue pinching without positive Ricci curvature assumption
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pinching of the first eigenvalue for second order operators on hypersurfaces of the Euclidean space
- Foliations of asymptotically flat manifolds by surfaces of Willmore type
- Almost-Schur lemma
- Optimal rigidity estimates for nearly umbilical surfaces
- A direct approach to Plateau's problem in any codimension
- Integral formula of Minkowski type and new characterization of the Wulff shape
- A mass transportation approach to quantitative isoperimetric inequalities
- Stability of hypersurfaces with constant mean curvature
- Explicit rigidity of almost-umbilical hypersurfaces
- Bubbling with \(L^2\)-almost constant mean curvature and an Alexandrov-type theorem for crystals
- Existence results for minimizers of parametric elliptic functionals
- Absence of bubbling phenomena for non-convex anisotropic nearly umbilical and quasi-Einstein hypersurfaces
- Foliations of asymptotically flat 3-manifolds by 2-surfaces of prescribed mean curvature
- A \(C^{0}\) estimate for nearly umbilical surfaces
- A Strong Form of the Quantitative Wulff Inequality
- Small Surfaces of Willmore Type in Riemannian Manifolds
- Geometry and stability of surfaces with constant anisotropic mean curvature
- Crystalline variational problems
- Rectifiability of Varifolds with Locally Bounded First Variation with Respect to Anisotropic Surface Energies
- Minimization of Anisotropic Energies in Classes of Rectifiable Varifolds
- Quantitative 𝑊^{2,𝑝}-stability for almost Einstein hypersurfaces
- Another Proof that Convex Functions are Locally Lipschitz
- QUANTITATIVE OSCILLATION ESTIMATES FOR ALMOST-UMBILICAL CLOSED HYPERSURFACES IN EUCLIDEAN SPACE
This page was built for publication: Quantitative stability for anisotropic nearly umbilical hypersurfaces
