Curvature measures and stability
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Publication:1581013
DOI10.1007/BF01221068zbMath0981.52003MaRDI QIDQ1581013
Publication date: 7 March 2002
Published in: Journal of Geometry (Search for Journal in Brave)
Global Riemannian geometry, including pinching (53C20) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
Related Items (2)
On the Shape of Compact Hypersurfaces with Almost-Constant Mean Curvature ⋮ Quantitative estimates for almost constant mean curvature hypersurfaces
Cites Work
- A stability estimate for the Aleksandrov-Fenchel inequality, with an application to mean curvature
- Compact hypersurfaces with a constant higher mean curvature function
- Integral and current representation of Federer's curvature measures
- Immersed hypersurfaces with constant Weingarten curvature
- Curvature measures and Steiner formulae in space forms
- Curvature measures of convex bodies
- Bestimmung konvexer Körper durch Krümmungsmaße
- On the Aleksandrov--Fenchel inequality and the stability of the sphere
- A representation for volume involving interior reach
- Diameter bounds for convex surfaces with pinched mean curvature
- Splitting and pinching for convex sets
- Stability of a sphere in the class of convex surfaces of bounded specific curvature
- Bounds for convex surfaces with bounded curvature functions
- Convex surfaces with bounded mean curvature
- Almost Spherical Convex Hypersurfaces
- Curvature Measures
- Compact convex bodies with one curvature measure near the surface measure.
- Stability in the Isoperimetric Problem for Convex or Nearly Spherical Domains in R n
- Minkowski Integral Formulas for Compact Convex Bodies in Standard Space Forms
- Ovaloids which are almost spheres
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