On almost stable linear Weingarten hypersurfaces
From MaRDI portal
Publication:6143511
DOI10.1016/j.bulsci.2023.103343MaRDI QIDQ6143511
Abhitosh Upadhyay, Julien Roth
Publication date: 24 January 2024
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global submanifolds (53C40) Optimization of shapes other than minimal surfaces (49Q10) Stability theory for manifolds (58K25)
Cites Work
- Unnamed Item
- Unnamed Item
- Stable hypersurfaces as minima of the integral of an anisotropic mean curvature preserving a linear combination of area and volume
- Pinching of the first eigenvalue for second order operators on hypersurfaces of the Euclidean space
- Some characterizations of the Wulff shape
- A new variational characterization of the Wulff shape
- Integral formula of Minkowski type and new characterization of the Wulff shape
- Stability of hypersurfaces with constant mean curvature
- Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
- Stable hypersurfaces with constant scalar curvature
- On the first eigenvalue of the linearized operator of the \(r\)-th mean curvature of a hypersurface
- Stability of hypersurfaces with constant \(r\)-mean curvature
- Stability of generalized linear Weingarten hypersurfaces immersed in the Euclidean space
- Stability and eigenvalue estimates of linear weingarten hypersurfaces in a sphere
- Absence of bubbling phenomena for non-convex anisotropic nearly umbilical and quasi-Einstein hypersurfaces
- On the stability of hypersurfaces in space forms
- On compact anisotropic Weingarten hypersurfaces in Euclidean space
- The stability of hypersurfaces revisited
- Stability of hypersurfaces with constant \((r+1)\)-th anisotropic mean curvature
- Geometry and stability of surfaces with constant anisotropic mean curvature
- Compact embedded hypersurfaces with constant higher order anisotropic mean curvatures
- Stability of the Wulff shape
- ON ALMOST STABLE CMC HYPERSURFACES IN MANIFOLDS OF BOUNDED SECTIONAL CURVATURE
- Some integral formulas for closed hypersurfaces