On Barbier's theorem
W. Cieslak, S. Gozdz (1990)
Matematički Vesnik
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Displaying similar documents to “Extensions of an inequality of Bonnesen to D-dimensional space and curvature conditions for convex bodies.”
On Barbier's theorem
Non-parametric convex hypersurfaces with a curvature restriction
Rolf Schneider (1983)
Annales Polonici Mathematici
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Comparison between the generalized mean curvature according to Allard and Federer's mean curvature measure
E. Ossanna (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Singularity structure in mean curvature flow of mean-convex sets.
Colding, Tobias H., Kleiner, Bruce (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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On the number of circles of curvature perfectly enclosing or perfectly enclosed by a closed convex oval
R. G., Bose (1932)
Mathematische Zeitschrift
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Translative integral formulae for convex bodies.
Wolfgang Weil, Paul Goodey (1987)
Aequationes mathematicae
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Rigidity of convex domains in manifolds with nonnegative Ricci and sectional curvature.
Viktor Schroeder, Martin Strake (1989)
Commentarii mathematici Helvetici
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Curvature contents of geometric spaces.
Lohkamp, Joachim (1998)
Documenta Mathematica
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Geometries of Curvature and Their Aesthetics
Brent Collins (2001)
Visual Mathematics
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Embedding and surrounding with positive mean curvature.
H.B., Jr Lawson, M.-L. Michelsohn (1984)
Inventiones mathematicae
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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.
A stability estimate for the Aleksandrow-Fnechel inequality, with an application to mean curvature.
Rolf Schneider (1990)
Manuscripta 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.