QUANTITATIVE OSCILLATION ESTIMATES FOR ALMOST-UMBILICAL CLOSED HYPERSURFACES IN EUCLIDEAN SPACE
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Publication:5501757
DOI10.1017/S0004972715000222zbMath1322.53011arXiv1404.2525MaRDI QIDQ5501757
Publication date: 14 August 2015
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.2525
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (3)
Pinching of the first eigenvalue for second order operators on hypersurfaces of the Euclidean space ⋮ Absence of bubbling phenomena for non-convex anisotropic nearly umbilical and quasi-Einstein hypersurfaces ⋮ Quantitative stability for anisotropic nearly umbilical hypersurfaces
Cites Work
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- Gauss curvature flow: The fate of the rolling stones
- Upper bounds for the first eigenvalue of the Laplacian on compact submanifolds.
- Pinching of the first eigenvalue of the Laplacian and almost-Einstein hypersurfaces of the Euclidean space
- A \(C^{0}\) estimate for nearly umbilical surfaces
- Convex hypersurfaces with pinched principal curvatures and flow of convex hypersurfaces by high powers of curvature
- A NEW RESULT ABOUT ALMOST UMBILICAL HYPERSURFACES OF REAL SPACE FORMS
- Closeness to spheres of hypersurfaces with normal curvature bounded below
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