The mean curvature of the second fundamental form of a hypersurface.
Haesen, Stefan, Verpoort, Steven (2010)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “Non-parametric convex hypersurfaces with a curvature restriction”
The mean curvature of the second fundamental form of a hypersurface.
Deforming convex hypersurfaces by the square root of the scalar curvature.
B. Chow (1987)
Inventiones mathematicae
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Ovaloids with prescribed curvature of the second fundamental form
Christos Baikoussis, Themis Koufogiorgos (1988)
Colloquium Mathematicae
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Compact Hypersurfaces with a Constant Higher Mean Curvature Function.
Rolf Walter (1985)
Mathematische Annalen
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Non-degenerate quadric surfaces of Weingarten type
Dae Won Yoon, Yılmaz Tunçer, Murat Kemal Karacan (2013)
Annales Polonici Mathematici
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We study quadric surfaces in Euclidean 3-space with non-degenerate second fundamental form, and classify them in terms of the Gaussian curvature, the mean curvature, the second Gaussian curvature and the second mean curvature.
Curvature contents of geometric spaces.
Lohkamp, Joachim (1998)
Documenta Mathematica
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Uniqueness results for the Minkowski problem extended to hedgehogs
Yves Martinez-Maure (2012)
Open Mathematics
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The classical Minkowski problem has a natural extension to hedgehogs, that is to Minkowski differences of closed convex hypersurfaces. This extended Minkowski problem is much more difficult since it essentially boils down to the question of solutions of certain Monge-Ampère equations of mixed type on the unit sphere of ℝn+1. In this paper, we mainly consider the uniqueness question and give first results.
Counterexample to the convexity of level sets of solutions to the mean curvature equation
Xu-Jia Wang (2014)
Journal of the European Mathematical Society
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The convexity of level sets of solutions to the mean curvature equation is a long standing open problem. In this paper we give a counterexample to it.
On Spacelike Hypersurfaces with Constant Mean Curvature in the de Sitter Space.
Kazuo Akutagawa (1987)
Mathematische Zeitschrift
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Geometries of Curvature and Their Aesthetics
Brent Collins (2001)
Visual Mathematics
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Immersed Hypersurfaces with Constant Weingarten Curvature.
Klaus Ecker, Gerhard Huisken (1989)
Mathematische Annalen
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